11517698160 has 240 divisors, whose sum is σ = 41033266560. Its totient is φ = 2887073280.

The previous prime is 11517698131. The next prime is 11517698183. The reversal of 11517698160 is 6189671511.

11517698160 is a `hidden beast` number, since 11 + 517 + 69 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788867 + ... + 1795293.

It is an arithmetic number, because the mean of its divisors is an integer number (170971944).

Almost surely, 2^11517698160 is an apocalyptic number.

11517698160 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 11517698160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20516633280).

11517698160 is an abundant number, since it is smaller than the sum of its proper divisors (29515568400).

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

11517698160 is a wasteful number, since it uses less digits than its factorization.

11517698160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

It can be divided in two parts, 1151769 and 8160, that added together give a square (1159929 = 1077²).

The spelling of 11517698160 in words is "eleven billion, five hundred seventeen million, six hundred ninety-eight thousand, one hundred sixty".