11797158528000 has 1056 divisors, whose sum is σ = 44496262467072. Its totient is φ = 2999918592000.

The previous prime is 11797158527951. The next prime is 11797158528011. The reversal of 11797158528000 is 82585179711.

11797158528000 is a `hidden beast` number, since 1 + 17 + 97 + 15 + 8 + 528 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14334335589 + ... + 14334336411.

Almost surely, 2^{11797158528000} is an apocalyptic number.

11797158528000 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 11797158528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248131233536).

11797158528000 is an abundant number, since it is smaller than the sum of its proper divisors (32699103939072).

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

11797158528000 is a wasteful number, since it uses less digits than its factorization.

11797158528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 11797158528000 in words is "eleven trillion, seven hundred ninety-seven billion, one hundred fifty-eight million, five hundred twenty-eight thousand".