53368511938560 has 2880 divisors, whose sum is σ = 250166375327232. Its totient is φ = 10591691341824.

The previous prime is 53368511938559. The next prime is 53368511938583. The reversal of 53368511938560 is 6583911586335.

53368511938560 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 8 + 51 + 19 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30795447454 + ... + 30795449186.

Almost surely, 2^{53368511938560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53368511938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125083187663616).

53368511938560 is an abundant number, since it is smaller than the sum of its proper divisors (196797863388672).

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

53368511938560 is a wasteful number, since it uses less digits than its factorization.

53368511938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 53368511938560 in words is "fifty-three trillion, three hundred sixty-eight billion, five hundred eleven million, nine hundred thirty-eight thousand, five hundred sixty".