5213122790400 has 792 divisors, whose sum is σ = 21409713571584. Its totient is φ = 1187227238400.

The previous prime is 5213122790333. The next prime is 5213122790437. The reversal of 5213122790400 is 40972213125.

5213122790400 is a `hidden beast` number, since 5 + 21 + 3 + 1 + 227 + 9 + 0 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 453191049 + ... + 453202551.

Almost surely, 2^{5213122790400} is an apocalyptic number.

5213122790400 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 5213122790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704856785792).

5213122790400 is an abundant number, since it is smaller than the sum of its proper divisors (16196590781184).

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

5213122790400 is a wasteful number, since it uses less digits than its factorization.

5213122790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5213122790400 in words is "five trillion, two hundred thirteen billion, one hundred twenty-two million, seven hundred ninety thousand, four hundred".