11718120960 has 1280 divisors, whose sum is σ = 54116536320. Its totient is φ = 2364899328.

The previous prime is 11718120929. The next prime is 11718120979. The reversal of 11718120960 is 6902181711.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509483509 + ... + 509483531.

It is an arithmetic number, because the mean of its divisors is an integer number (42278544).

Almost surely, 2^11718120960 is an apocalyptic number.

11718120960 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 11718120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058268160).

11718120960 is an abundant number, since it is smaller than the sum of its proper divisors (42398415360).

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

11718120960 is an frugal number, since it uses more digits than its factorization.

11718120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11718120960 in words is "eleven billion, seven hundred eighteen million, one hundred twenty thousand, nine hundred sixty".