13552680960 has 768 divisors, whose sum is σ = 58396403520. Its totient is φ = 2831155200.

The previous prime is 13552680941. The next prime is 13552680971. The reversal of 13552680960 is 6908625531.

13552680960 is a `hidden beast` number, since 1 + 3 + 552 + 6 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×13552680960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 134184910 + ... + 134185010.

Almost surely, 2^13552680960 is an apocalyptic number.

13552680960 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 13552680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198201760).

13552680960 is an abundant number, since it is smaller than the sum of its proper divisors (44843722560).

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

13552680960 is a wasteful number, since it uses less digits than its factorization.

13552680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13552680960 in words is "thirteen billion, five hundred fifty-two million, six hundred eighty thousand, nine hundred sixty".