11764872000 has 896 divisors, whose sum is σ = 51124469760. Its totient is φ = 2592000000.

The previous prime is 11764871999. The next prime is 11764872019. The reversal of 11764872000 is 27846711.

11764872000 is a `hidden beast` number, since 1 + 1 + 7 + 648 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46871875 + ... + 46872125.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^11764872000 is an apocalyptic number.

11764872000 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 11764872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562234880).

11764872000 is an abundant number, since it is smaller than the sum of its proper divisors (39359597760).

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

11764872000 is a wasteful number, since it uses less digits than its factorization.

11764872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11764872000 in words is "eleven billion, seven hundred sixty-four million, eight hundred seventy-two thousand".