5112374400 has 768 divisors, whose sum is σ = 21855744000. Its totient is φ = 1142968320.

The previous prime is 5112374387. The next prime is 5112374411. The reversal of 5112374400 is 44732115.

It is a super-2 number, since 2×5112374400² = 52272744011550720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47779147 + ... + 47779253.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 2^5112374400 is an apocalyptic number.

5112374400 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 5112374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872000).

5112374400 is an abundant number, since it is smaller than the sum of its proper divisors (16743369600).

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

5112374400 is a wasteful number, since it uses less digits than its factorization.

5112374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5112374400 is about 71500.8699247778. The cubic root of 5112374400 is about 1722.6916572249.

The spelling of 5112374400 in words is "five billion, one hundred twelve million, three hundred seventy-four thousand, four hundred".