52791582255104 has 1152 divisors, whose sum is σ = 144323917920000. Its totient is φ = 19227507425280.

The previous prime is 52791582255073. The next prime is 52791582255121. The reversal of 52791582255104 is 40155228519725.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 52791582255104.

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 95 ways as a sum of consecutive naturals, for example, 156651579224 + ... + 156651579560.

It is an arithmetic number, because the mean of its divisors is an integer number (125281178750).

Almost surely, 2^{52791582255104} 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 52791582255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72161958960000).

52791582255104 is an abundant number, since it is smaller than the sum of its proper divisors (91532335664896).

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

52791582255104 is a wasteful number, since it uses less digits than its factorization.

52791582255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 56.

The spelling of 52791582255104 in words is "fifty-two trillion, seven hundred ninety-one billion, five hundred eighty-two million, two hundred fifty-five thousand, one hundred four".