11170815872160 has 192 divisors, whose sum is σ = 40896546969600. Its totient is φ = 2510052529152.

The previous prime is 11170815872141. The next prime is 11170815872171. The reversal of 11170815872160 is 6127851807111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27976740 + ... + 28373219.

It is an arithmetic number, because the mean of its divisors is an integer number (213002848800).

Almost surely, 2^{11170815872160} is an apocalyptic number.

11170815872160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11170815872160 is an abundant number, since it is smaller than the sum of its proper divisors (29725731097440).

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

11170815872160 is a wasteful number, since it uses less digits than its factorization.

11170815872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56350043 (or 56350035 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 48.

The spelling of 11170815872160 in words is "eleven trillion, one hundred seventy billion, eight hundred fifteen million, eight hundred seventy-two thousand, one hundred sixty".