11585157667120 has 40 divisors (see below), whose sum is σ = 26939330393040. Its totient is φ = 4633402625280.

The previous prime is 11585157667103. The next prime is 11585157667157. The reversal of 11585157667120 is 2176675158511.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9754371 + ... + 10877410.

It is an arithmetic number, because the mean of its divisors is an integer number (673483259826).

Almost surely, 2^{11585157667120} is an apocalyptic number.

11585157667120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11585157667120 is an abundant number, since it is smaller than the sum of its proper divisors (15354172725920).

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

11585157667120 is a wasteful number, since it uses less digits than its factorization.

11585157667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20638813 (or 20638807 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 55.

The spelling of 11585157667120 in words is "eleven trillion, five hundred eighty-five billion, one hundred fifty-seven million, six hundred sixty-seven thousand, one hundred twenty".