11507313866160 has 80 divisors (see below), whose sum is σ = 40768769131776. Its totient is φ = 2630243169024.

The previous prime is 11507313866141. The next prime is 11507313866201. The reversal of 11507313866160 is 6166831370511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424794114 + ... + 3424797473.

Almost surely, 2^{11507313866160} is an apocalyptic number.

11507313866160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11507313866160 is an abundant number, since it is smaller than the sum of its proper divisors (29261455265616).

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

11507313866160 is a wasteful number, since it uses less digits than its factorization.

11507313866160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849591610 (or 6849591604 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11507313866160 in words is "eleven trillion, five hundred seven billion, three hundred thirteen million, eight hundred sixty-six thousand, one hundred sixty".