5131557878400 has 480 divisors, whose sum is σ = 19933258118400. Its totient is φ = 1296392325120.

The previous prime is 5131557878357. The next prime is 5131557878423. The reversal of 5131557878400 is 48787551315.

5131557878400 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 557 + 8 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 4403809 + ... + 5445791.

It is an arithmetic number, because the mean of its divisors is an integer number (41527621080).

Almost surely, 2^{5131557878400} is an apocalyptic number.

5131557878400 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 5131557878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966629059200).

5131557878400 is an abundant number, since it is smaller than the sum of its proper divisors (14801700240000).

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

5131557878400 is a wasteful number, since it uses less digits than its factorization.

5131557878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042038 (or 1042012 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 5131557878400 in words is "five trillion, one hundred thirty-one billion, five hundred fifty-seven million, eight hundred seventy-eight thousand, four hundred".