11717583360 has 640 divisors, whose sum is σ = 45254246400. Its totient is φ = 2530344960.

The previous prime is 11717583359. The next prime is 11717583389. The reversal of 11717583360 is 6338571711.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131658196 + ... + 131658284.

It is an arithmetic number, because the mean of its divisors is an integer number (70709760).

Almost surely, 2^11717583360 is an apocalyptic number.

11717583360 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 11717583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627123200).

11717583360 is an abundant number, since it is smaller than the sum of its proper divisors (33536663040).

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

11717583360 is an equidigital number, since it uses as much as digits as its factorization.

11717583360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 11717583360 in words is "eleven billion, seven hundred seventeen million, five hundred eighty-three thousand, three hundred sixty".