5126413224960 has 792 divisors, whose sum is σ = 19258970399760. Its totient is φ = 1307438972928.

The previous prime is 5126413224953. The next prime is 5126413225013. The reversal of 5126413224960 is 694223146215.

5126413224960 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 413 + 224 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×5126413224960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 658156746 + ... + 658164534.

Almost surely, 2^{5126413224960} 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 5126413224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9629485199880).

5126413224960 is an abundant number, since it is smaller than the sum of its proper divisors (14132557174800).

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

5126413224960 is an equidigital number, since it uses as much as digits as its factorization.

5126413224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 5126413224960 in words is "five trillion, one hundred twenty-six billion, four hundred thirteen million, two hundred twenty-four thousand, nine hundred sixty".