10999120567680 has 384 divisors, whose sum is σ = 45315257868000. Its totient is φ = 2514084507648.

The previous prime is 10999120567679. The next prime is 10999120567711. The reversal of 10999120567680 is 8676502199901.

10999120567680 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 1 + 2 + 0 + 567 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10999120567680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5648415 + ... + 7341854.

Almost surely, 2^{10999120567680} is an apocalyptic number.

10999120567680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10999120567680 is an abundant number, since it is smaller than the sum of its proper divisors (34316137300320).

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

10999120567680 is a wasteful number, since it uses less digits than its factorization.

10999120567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12990311 (or 12990286 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 10999120567680 in words is "ten trillion, nine hundred ninety-nine billion, one hundred twenty million, five hundred sixty-seven thousand, six hundred eighty".