11296687116960 has 864 divisors, whose sum is σ = 49980821567040. Its totient is φ = 2302301159424.

The previous prime is 11296687116929. The next prime is 11296687116961. The reversal of 11296687116960 is 6961178669211.

11296687116960 is a `hidden beast` number, since 1 + 1 + 296 + 68 + 71 + 169 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11296687116961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22543047 + ... + 23038713.

It is an arithmetic number, because the mean of its divisors is an integer number (57848173110).

Almost surely, 2^{11296687116960} is an apocalyptic number.

11296687116960 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 11296687116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24990410783520).

11296687116960 is an abundant number, since it is smaller than the sum of its proper divisors (38684134450080).

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

11296687116960 is a wasteful number, since it uses less digits than its factorization.

11296687116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495738 (or 495720 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 11296687116960 in words is "eleven trillion, two hundred ninety-six billion, six hundred eighty-seven million, one hundred sixteen thousand, nine hundred sixty".