11509864767072 has 108 divisors (see below), whose sum is σ = 38075043762756. Its totient is φ = 3288532786560.

The previous prime is 11509864767053. The next prime is 11509864767119. The reversal of 11509864767072 is 27076746890511.

11509864767072 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 98 + 6 + 476 + 7 + 0 + 72 = 666.

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 17 ways as a sum of consecutive naturals, for example, 407790054 + ... + 407818277.

It is an arithmetic number, because the mean of its divisors is an integer number (352546701507).

Almost surely, 2^{11509864767072} is an apocalyptic number.

11509864767072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11509864767072 is an abundant number, since it is smaller than the sum of its proper divisors (26565178995684).

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

11509864767072 is a wasteful number, since it uses less digits than its factorization.

11509864767072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815608361 (or 815608343 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 11509864767072 in words is "eleven trillion, five hundred nine billion, eight hundred sixty-four million, seven hundred sixty-seven thousand, seventy-two".