5157841920 has 704 divisors, whose sum is σ = 21223296000. Its totient is φ = 1059717120.

The previous prime is 5157841919. The next prime is 5157841933. The reversal of 5157841920 is 291487515.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57953236 + ... + 57953324.

Almost surely, 2^5157841920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648000).

5157841920 is an abundant number, since it is smaller than the sum of its proper divisors (16065454080).

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

5157841920 is a wasteful number, since it uses less digits than its factorization.

5157841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 5157841920 is about 71818.1169343781. The cubic root of 5157841920 is about 1727.7835805779.

The spelling of 5157841920 in words is "five billion, one hundred fifty-seven million, eight hundred forty-one thousand, nine hundred twenty".