15130961664 has 432 divisors, whose sum is σ = 51027707808. Its totient is φ = 3945037824.

The previous prime is 15130961641. The next prime is 15130961689. The reversal of 15130961664 is 46616903151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76806814 + ... + 76807010.

It is an arithmetic number, because the mean of its divisors is an integer number (118119694).

Almost surely, 2^15130961664 is an apocalyptic number.

15130961664 is a gapful number since it is divisible by the number (14) 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 15130961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25513853904).

15130961664 is an abundant number, since it is smaller than the sum of its proper divisors (35896746144).

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

15130961664 is a wasteful number, since it uses less digits than its factorization.

15130961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 15130961664 in words is "fifteen billion, one hundred thirty million, nine hundred sixty-one thousand, six hundred sixty-four".