11510797132800 has 1188 divisors, whose sum is σ = 48054608321616. Its totient is φ = 2624915865600.

The previous prime is 11510797132789. The next prime is 11510797132823. The reversal of 11510797132800 is 823179701511.

11510797132800 is a `hidden beast` number, since 11 + 510 + 7 + 97 + 1 + 32 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6356043895 + ... + 6356045705.

Almost surely, 2^{11510797132800} is an apocalyptic number.

11510797132800 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 11510797132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24027304160808).

11510797132800 is an abundant number, since it is smaller than the sum of its proper divisors (36543811188816).

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

11510797132800 is a wasteful number, since it uses less digits than its factorization.

11510797132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 11510797132800 in words is "eleven trillion, five hundred ten billion, seven hundred ninety-seven million, one hundred thirty-two thousand, eight hundred".