5157936000 has 1152 divisors, whose sum is σ = 23345768160. Its totient is φ = 1083801600.

The previous prime is 5157935999. The next prime is 5157936013. The reversal of 5157936000 is 6397515.

It is a happy number.

5157936000 is a `hidden beast` number, since 51 + 579 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119951979 + ... + 119952021.

Almost surely, 2^5157936000 is an apocalyptic number.

5157936000 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 5157936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672884080).

5157936000 is an abundant number, since it is smaller than the sum of its proper divisors (18187832160).

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

5157936000 is a wasteful number, since it uses less digits than its factorization.

5157936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5157936000 is about 71818.7719193248. The cubic root of 5157936000 is about 1727.7940855458.

The spelling of 5157936000 in words is "five billion, one hundred fifty-seven million, nine hundred thirty-six thousand".