5012538400 has 144 divisors (see below), whose sum is σ = 13040165376. Its totient is φ = 1874923520.

The previous prime is 5012538389. The next prime is 5012538413. The reversal of 5012538400 is 48352105.

It is a super-2 number, since 2×5012538400² = 50251082422949120000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2270097 + ... + 2272303.

It is an arithmetic number, because the mean of its divisors is an integer number (90556704).

Almost surely, 2^5012538400 is an apocalyptic number.

5012538400 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 5012538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520082688).

5012538400 is an abundant number, since it is smaller than the sum of its proper divisors (8027626976).

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

5012538400 is a wasteful number, since it uses less digits than its factorization.

5012538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5012538400 is about 70799.2824822399. The cubic root of 5012538400 is about 1711.4041110420.

The spelling of 5012538400 in words is "five billion, twelve million, five hundred thirty-eight thousand, four hundred".