5007056090400 has 2592 divisors, whose sum is σ = 23856671075328. Its totient is φ = 961088716800.

The previous prime is 5007056090329. The next prime is 5007056090453. The reversal of 5007056090400 is 40906507005.

5007056090400 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 0 + 5 + 609 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×5007056090400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5869936374 + ... + 5869937226.

Almost surely, 2^{5007056090400} is an apocalyptic number.

5007056090400 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 5007056090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928335537664).

5007056090400 is an abundant number, since it is smaller than the sum of its proper divisors (18849614984928).

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

5007056090400 is a wasteful number, since it uses less digits than its factorization.

5007056090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 5007056090400 in words is "five trillion, seven billion, fifty-six million, ninety thousand, four hundred".