5112135210400 has 72 divisors (see below), whose sum is σ = 12480545193984. Its totient is φ = 2044764768000.

The previous prime is 5112135210373. The next prime is 5112135210407. The reversal of 5112135210400 is 40125312115.

It is a super-2 number, since 2×5112135210400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5112135210407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20003425 + ... + 20257375.

It is an arithmetic number, because the mean of its divisors is an integer number (173340905472).

Almost surely, 2^{5112135210400} is an apocalyptic number.

5112135210400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5112135210400 is an abundant number, since it is smaller than the sum of its proper divisors (7368409983584).

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

5112135210400 is a wasteful number, since it uses less digits than its factorization.

5112135210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279134 (or 279121 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 5112135210400 in words is "five trillion, one hundred twelve billion, one hundred thirty-five million, two hundred ten thousand, four hundred".