11888699074560 has 3456 divisors, whose sum is σ = 56768918169600. Its totient is φ = 2250060595200.

The previous prime is 11888699074559. The next prime is 11888699074573. The reversal of 11888699074560 is 6547099688811.

11888699074560 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 86 + 9 + 90 + 7 + 456 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383506421745 + ... + 383506421775.

It is an arithmetic number, because the mean of its divisors is an integer number (16426191600).

Almost surely, 2^{11888699074560} is an apocalyptic number.

11888699074560 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 11888699074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384459084800).

11888699074560 is an abundant number, since it is smaller than the sum of its proper divisors (44880219095040).

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

11888699074560 is a wasteful number, since it uses less digits than its factorization.

11888699074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 11888699074560 in words is "eleven trillion, eight hundred eighty-eight billion, six hundred ninety-nine million, seventy-four thousand, five hundred sixty".