5157216400 has 240 divisors, whose sum is σ = 14991969024. Its totient is φ = 1666621440.

The previous prime is 5157216347. The next prime is 5157216409. The reversal of 5157216400 is 46127515.

It is not an unprimeable number, because it can be changed into a prime (5157216409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4700652 + ... + 4701748.

Almost surely, 2^5157216400 is an apocalyptic number.

5157216400 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 5157216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495984512).

5157216400 is an abundant number, since it is smaller than the sum of its proper divisors (9834752624).

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

5157216400 is a wasteful number, since it uses less digits than its factorization.

5157216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5157216400 is about 71813.7619123243. The cubic root of 5157216400 is about 1727.7137317991.

The spelling of 5157216400 in words is "five billion, one hundred fifty-seven million, two hundred sixteen thousand, four hundred".