11187911056320 has 672 divisors, whose sum is σ = 40712012909568. Its totient is φ = 2923406733312.

The previous prime is 11187911056307. The next prime is 11187911056321. The reversal of 11187911056320 is 2365011978111.

11187911056320 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 7 + 9 + 1 + 1 + 0 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187911056321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4891958217 + ... + 4891960503.

It is an arithmetic number, because the mean of its divisors is an integer number (60583352544).

Almost surely, 2^{11187911056320} is an apocalyptic number.

11187911056320 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 11187911056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356006454784).

11187911056320 is an abundant number, since it is smaller than the sum of its proper divisors (29524101853248).

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

11187911056320 is a wasteful number, since it uses less digits than its factorization.

11187911056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11187911056320 in words is "eleven trillion, one hundred eighty-seven billion, nine hundred eleven million, fifty-six thousand, three hundred twenty".