53027774701200 has 450 divisors, whose sum is σ = 206077975953894. Its totient is φ = 13052989347840.

The previous prime is 53027774701117. The next prime is 53027774701201. The reversal of 53027774701200 is 210747772035.

53027774701200 is a `hidden beast` number, since 5 + 30 + 27 + 7 + 7 + 470 + 120 + 0 = 666.

53027774701200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 15742389358224 + 37285385342976 = 3967668^2 + 6106176^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-3 number, since 3×53027774701200³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53027774701201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 633412 + ... + 10317788.

Almost surely, 2^{53027774701200} is an apocalyptic number.

53027774701200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53027774701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103038987976947).

53027774701200 is an abundant number, since it is smaller than the sum of its proper divisors (153050201252694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53027774701200 is a wasteful number, since it uses less digits than its factorization.

53027774701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684433 (or 9684400 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 53027774701200 in words is "fifty-three trillion, twenty-seven billion, seven hundred seventy-four million, seven hundred one thousand, two hundred".