15157995600 has 480 divisors, whose sum is σ = 57922007040. Its totient is φ = 3345408000.

The previous prime is 15157995577. The next prime is 15157995623. The reversal of 15157995600 is 659975151.

It is an interprime number because it is at equal distance from previous prime (15157995577) and next prime (15157995623).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15157995600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955311 + ... + 6957489.

It is an arithmetic number, because the mean of its divisors is an integer number (120670848).

Almost surely, 2^15157995600 is an apocalyptic number.

15157995600 is a gapful number since it is divisible by the number (10) 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 15157995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28961003520).

15157995600 is an abundant number, since it is smaller than the sum of its proper divisors (42764011440).

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

15157995600 is a wasteful number, since it uses less digits than its factorization.

15157995600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 48.

The spelling of 15157995600 in words is "fifteen billion, one hundred fifty-seven million, nine hundred ninety-five thousand, six hundred".