15145320960 has 480 divisors, whose sum is σ = 65402992512. Its totient is φ = 3146711040.

The previous prime is 15145320919. The next prime is 15145320979. The reversal of 15145320960 is 6902354151.

15145320960 is a `hidden beast` number, since 1 + 514 + 53 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769812 + ... + 1778348.

Almost surely, 2^15145320960 is an apocalyptic number.

15145320960 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 15145320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32701496256).

15145320960 is an abundant number, since it is smaller than the sum of its proper divisors (50257671552).

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

15145320960 is a wasteful number, since it uses less digits than its factorization.

15145320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 15145320960 in words is "fifteen billion, one hundred forty-five million, three hundred twenty thousand, nine hundred sixty".