5296879430400 has 432 divisors, whose sum is σ = 18112330736640. Its totient is φ = 1361813913600.

The previous prime is 5296879430383. The next prime is 5296879430411. The reversal of 5296879430400 is 40349786925.

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 47 ways as a sum of consecutive naturals, for example, 160092259 + ... + 160125341.

It is an arithmetic number, because the mean of its divisors is an integer number (41926691520).

Almost surely, 2^{5296879430400} is an apocalyptic number.

5296879430400 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 5296879430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056165368320).

5296879430400 is an abundant number, since it is smaller than the sum of its proper divisors (12815451306240).

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

5296879430400 is a wasteful number, since it uses less digits than its factorization.

5296879430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33412 (or 33393 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 5296879430400 in words is "five trillion, two hundred ninety-six billion, eight hundred seventy-nine million, four hundred thirty thousand, four hundred".