53027287372800 has 5544 divisors, whose sum is σ = 241261048822464. Its totient is φ = 11477644738560.

The previous prime is 53027287372781. The next prime is 53027287372819. The reversal of 53027287372800 is 827378272035.

53027287372800 is a `hidden beast` number, since 5 + 30 + 27 + 287 + 37 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53027287372781) and next prime (53027287372819).

It is a super-2 number, since 2×53027287372800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1233192729579 + ... + 1233192729621.

Almost surely, 2^{53027287372800} is an apocalyptic number.

53027287372800 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 53027287372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120630524411232).

53027287372800 is an abundant number, since it is smaller than the sum of its proper divisors (188233761449664).

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

53027287372800 is a wasteful number, since it uses less digits than its factorization.

53027287372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 53027287372800 in words is "fifty-three trillion, twenty-seven billion, two hundred eighty-seven million, three hundred seventy-two thousand, eight hundred".