53336560262400 has 324 divisors, whose sum is σ = 190864930990188. Its totient is φ = 14210053079040.

The previous prime is 53336560262281. The next prime is 53336560262411. The reversal of 53336560262400 is 426206563335.

53336560262400 is a `hidden beast` number, since 5 + 3 + 3 + 36 + 5 + 602 + 6 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5724573041664 + 47611987220736 = 2392608^2 + 6900144^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62533204 + ... + 63380396.

Almost surely, 2^{53336560262400} is an apocalyptic number.

53336560262400 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 53336560262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95432465495094).

53336560262400 is an abundant number, since it is smaller than the sum of its proper divisors (137528370727788).

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

53336560262400 is a wasteful number, since it uses less digits than its factorization.

53336560262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848318 (or 848296 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 53336560262400 in words is "fifty-three trillion, three hundred thirty-six billion, five hundred sixty million, two hundred sixty-two thousand, four hundred".