11575670160 has 160 divisors (see below), whose sum is σ = 37236723840. Its totient is φ = 2971193344.

The previous prime is 11575670153. The next prime is 11575670177. The reversal of 11575670160 is 6107657511.

It is a super-2 number, since 2×11575670160² (a number of 21 digits) contains 22 as substring.

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, 2412724 + ... + 2417516.

It is an arithmetic number, because the mean of its divisors is an integer number (232729524).

Almost surely, 2^11575670160 is an apocalyptic number.

11575670160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11575670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618361920).

11575670160 is an abundant number, since it is smaller than the sum of its proper divisors (25661053680).

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

11575670160 is a wasteful number, since it uses less digits than its factorization.

11575670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 11575670160 in words is "eleven billion, five hundred seventy-five million, six hundred seventy thousand, one hundred sixty".