5137708800 has 648 divisors, whose sum is σ = 20341364736. Its totient is φ = 1137991680.

The previous prime is 5137708777. The next prime is 5137708837. The reversal of 5137708800 is 88077315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40454337 + ... + 40454463.

Almost surely, 2^5137708800 is an apocalyptic number.

5137708800 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 5137708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170682368).

5137708800 is an abundant number, since it is smaller than the sum of its proper divisors (15203655936).

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

5137708800 is a wasteful number, since it uses less digits than its factorization.

5137708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 5137708800 is about 71677.8124666204. The cubic root of 5137708800 is about 1725.5325723780.

The spelling of 5137708800 in words is "five billion, one hundred thirty-seven million, seven hundred eight thousand, eight hundred".