15013864320 has 256 divisors, whose sum is σ = 58901230080. Its totient is φ = 3167723520.

The previous prime is 15013864289. The next prime is 15013864321. The reversal of 15013864320 is 2346831051.

It is a super-2 number, since 2×15013864320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15013864321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131755 + ... + 217685.

It is an arithmetic number, because the mean of its divisors is an integer number (230082930).

Almost surely, 2^15013864320 is an apocalyptic number.

15013864320 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 15013864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29450615040).

15013864320 is an abundant number, since it is smaller than the sum of its proper divisors (43887365760).

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

15013864320 is a wasteful number, since it uses less digits than its factorization.

15013864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85973 (or 85961 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 15013864320 in words is "fifteen billion, thirteen million, eight hundred sixty-four thousand, three hundred twenty".