11977088094720 has 2400 divisors, whose sum is σ = 53108919883008. Its totient is φ = 2566528892928.

The previous prime is 11977088094701. The next prime is 11977088094737. The reversal of 11977088094720 is 2749088077911.

11977088094720 is a `hidden beast` number, since 1 + 1 + 97 + 70 + 8 + 8 + 0 + 9 + 472 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12385819677 + ... + 12385820643.

Almost surely, 2^{11977088094720} is an apocalyptic number.

11977088094720 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 11977088094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554459941504).

11977088094720 is an abundant number, since it is smaller than the sum of its proper divisors (41131831788288).

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

11977088094720 is an equidigital number, since it uses as much as digits as its factorization.

11977088094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 11977088094720 in words is "eleven trillion, nine hundred seventy-seven billion, eighty-eight million, ninety-four thousand, seven hundred twenty".