11764684872000 has 672 divisors, whose sum is σ = 43384968226080. Its totient is φ = 3040926105600.

The previous prime is 11764684871987. The next prime is 11764684872011. The reversal of 11764684872000 is 27848646711.

11764684872000 is a `hidden beast` number, since 1 + 1 + 76 + 468 + 48 + 72 + 0 + 0 + 0 = 666.

11764684872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9922953605184 + 1841731266816 = 3150072^2 + 1357104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 716607792 + ... + 716624208.

Almost surely, 2^{11764684872000} is an apocalyptic number.

11764684872000 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 11764684872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692484113040).

11764684872000 is an abundant number, since it is smaller than the sum of its proper divisors (31620283354080).

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

11764684872000 is a wasteful number, since it uses less digits than its factorization.

11764684872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 11764684872000 in words is "eleven trillion, seven hundred sixty-four billion, six hundred eighty-four million, eight hundred seventy-two thousand".