11761089517056 has 160 divisors (see below), whose sum is σ = 35979649833600. Its totient is φ = 3376389242880.

The previous prime is 11761089517043. The next prime is 11761089517081. The reversal of 11761089517056 is 65071598016711.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 11761089516987 and 11761089517005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17997061 + ... + 18639108.

It is an arithmetic number, because the mean of its divisors is an integer number (224872811460).

Almost surely, 2^{11761089517056} is an apocalyptic number.

11761089517056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11761089517056 is an abundant number, since it is smaller than the sum of its proper divisors (24218560316544).

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

11761089517056 is a wasteful number, since it uses less digits than its factorization.

11761089517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36636220 (or 36636204 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 57.

The spelling of 11761089517056 in words is "eleven trillion, seven hundred sixty-one billion, eighty-nine million, five hundred seventeen thousand, fifty-six".