5257507359104 has 1024 divisors, whose sum is σ = 14946057584640. Its totient is φ = 1776660480000.

The previous prime is 5257507359079. The next prime is 5257507359131. The reversal of 5257507359104 is 4019537057525.

It is a super-3 number, since 3×5257507359104³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29047001894 + ... + 29047002074.

It is an arithmetic number, because the mean of its divisors is an integer number (14595759360).

Almost surely, 2^{5257507359104} 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 5257507359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473028792320).

5257507359104 is an abundant number, since it is smaller than the sum of its proper divisors (9688550225536).

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

5257507359104 is a wasteful number, since it uses less digits than its factorization.

5257507359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 53.

The spelling of 5257507359104 in words is "five trillion, two hundred fifty-seven billion, five hundred seven million, three hundred fifty-nine thousand, one hundred four".