5158501920 has 864 divisors, whose sum is σ = 21754946304. Its totient is φ = 1102233600.

The previous prime is 5158501883. The next prime is 5158501921. The reversal of 5158501920 is 291058515.

It is a happy number.

5158501920 is a `hidden beast` number, since 51 + 585 + 0 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×5158501920² = 53220284117287372800, which contains 22 as substring.

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 (5158501921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109755337 + ... + 109755383.

It is an arithmetic number, because the mean of its divisors is an integer number (25179336).

Almost surely, 2^5158501920 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 5158501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877473152).

5158501920 is an abundant number, since it is smaller than the sum of its proper divisors (16596444384).

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

5158501920 is a wasteful number, since it uses less digits than its factorization.

5158501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 5158501920 is about 71822.7117282549. The cubic root of 5158501920 is about 1727.8572734483.

The spelling of 5158501920 in words is "five billion, one hundred fifty-eight million, five hundred one thousand, nine hundred twenty".