11675711761920 has 160 divisors (see below), whose sum is σ = 41473101399840. Its totient is φ = 3113523118080.

The previous prime is 11675711761873. The next prime is 11675711761939. The reversal of 11675711761920 is 2916711757611.

11675711761920 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 5 + 7 + 1 + 17 + 619 + 2 + 0 = 666.

11675711761920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 84390601 + ... + 84528840.

It is an arithmetic number, because the mean of its divisors is an integer number (259206883749).

Almost surely, 2^{11675711761920} is an apocalyptic number.

11675711761920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11675711761920 is an abundant number, since it is smaller than the sum of its proper divisors (29797389637920).

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

11675711761920 is an equidigital number, since it uses as much as digits as its factorization.

11675711761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168919473 (or 168919451 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 54.

The spelling of 11675711761920 in words is "eleven trillion, six hundred seventy-five billion, seven hundred eleven million, seven hundred sixty-one thousand, nine hundred twenty".