5157943200 has 216 divisors, whose sum is σ = 18979597728. Its totient is φ = 1315607040.

The previous prime is 5157943183. The next prime is 5157943201. The reversal of 5157943200 is 23497515.

5157943200 is a `hidden beast` number, since 51 + 579 + 4 + 32 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5157943201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150027 + ... + 181173.

It is an arithmetic number, because the mean of its divisors is an integer number (87868508).

Almost surely, 2^5157943200 is an apocalyptic number.

5157943200 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 5157943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489798864).

5157943200 is an abundant number, since it is smaller than the sum of its proper divisors (13821654528).

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

5157943200 is a wasteful number, since it uses less digits than its factorization.

5157943200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31196 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5157943200 is about 71818.8220454777. The cubic root of 5157943200 is about 1727.7948894922.

The spelling of 5157943200 in words is "five billion, one hundred fifty-seven million, nine hundred forty-three thousand, two hundred".