53607268915200 has 6912 divisors, whose sum is σ = 279359399854080. Its totient is φ = 9459597312000.

The previous prime is 53607268915199. The next prime is 53607268915259. The reversal of 53607268915200 is 251986270635.

53607268915200 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 7 + 26 + 8 + 91 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 328878950319 + ... + 328878950481.

It is an arithmetic number, because the mean of its divisors is an integer number (40416579840).

Almost surely, 2^{53607268915200} is an apocalyptic number.

53607268915200 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 53607268915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139679699927040).

53607268915200 is an abundant number, since it is smaller than the sum of its proper divisors (225752130938880).

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

53607268915200 is a wasteful number, since it uses less digits than its factorization.

53607268915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53607268915200 in words is "fifty-three trillion, six hundred seven billion, two hundred sixty-eight million, nine hundred fifteen thousand, two hundred".