15159968400 has 120 divisors (see below), whose sum is σ = 49227955360. Its totient is φ = 3987256320.

The previous prime is 15159968381. The next prime is 15159968413. The reversal of 15159968400 is 486995151.

It is a tau number, because it is divible by the number of its divisors (120).

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 15159968400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071 + ... + 174129.

Almost surely, 2^15159968400 is an apocalyptic number.

15159968400 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 15159968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24613977680).

15159968400 is an abundant number, since it is smaller than the sum of its proper divisors (34067986960).

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

15159968400 is a wasteful number, since it uses less digits than its factorization.

15159968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173153 (or 173142 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 15159968400 in words is "fifteen billion, one hundred fifty-nine million, nine hundred sixty-eight thousand, four hundred".