15663684960 has 1152 divisors, whose sum is σ = 72067968000. Its totient is φ = 3149798400.

The previous prime is 15663684887. The next prime is 15663684983. The reversal of 15663684960 is 6948636651.

15663684960 is a `hidden beast` number, since 1 + 566 + 36 + 8 + 49 + 6 + 0 = 666.

It is a super-2 number, since 2×15663684960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15663684897 and 15663684906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505280145 + ... + 505280175.

It is an arithmetic number, because the mean of its divisors is an integer number (62559000).

Almost surely, 2^15663684960 is an apocalyptic number.

15663684960 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 15663684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033984000).

15663684960 is an abundant number, since it is smaller than the sum of its proper divisors (56404283040).

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

15663684960 is a wasteful number, since it uses less digits than its factorization.

15663684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 15663684960 in words is "fifteen billion, six hundred sixty-three million, six hundred eighty-four thousand, nine hundred sixty".