11311713504000 has 6480 divisors, whose sum is σ = 57953450370816. Its totient is φ = 2173796352000.

The previous prime is 11311713503999. The next prime is 11311713504019. The reversal of 11311713504000 is 40531711311.

11311713504000 is a `hidden beast` number, since 1 + 13 + 117 + 135 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 364893983985 + ... + 364893984015.

Almost surely, 2^{11311713504000} is an apocalyptic number.

11311713504000 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 11311713504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976725185408).

11311713504000 is an abundant number, since it is smaller than the sum of its proper divisors (46641736866816).

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

11311713504000 is a wasteful number, since it uses less digits than its factorization.

11311713504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11311713504000 in words is "eleven trillion, three hundred eleven billion, seven hundred thirteen million, five hundred four thousand".