15916529664 has 216 divisors, whose sum is σ = 53478177480. Its totient is φ = 4547321856.

The previous prime is 15916529663. The next prime is 15916529683. The reversal of 15916529664 is 46692561951.

15916529664 is a `hidden beast` number, since 1 + 59 + 1 + 6 + 529 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 15916529664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15916529663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 894357 + ... + 911979.

It is an arithmetic number, because the mean of its divisors is an integer number (247584155).

Almost surely, 2^15916529664 is an apocalyptic number.

15916529664 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 15916529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26739088740).

15916529664 is an abundant number, since it is smaller than the sum of its proper divisors (37561647816).

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

15916529664 is a wasteful number, since it uses less digits than its factorization.

15916529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17665 (or 17635 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 15916529664 in words is "fifteen billion, nine hundred sixteen million, five hundred twenty-nine thousand, six hundred sixty-four".