11864160000 has 1080 divisors, whose sum is σ = 53791081344. Its totient is φ = 2442240000.

The previous prime is 11864159969. The next prime is 11864160013. The reversal of 11864160000 is 6146811.

11864160000 is a `hidden beast` number, since 1 + 18 + 6 + 41 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110879947 + ... + 110880053.

Almost surely, 2^11864160000 is an apocalyptic number.

11864160000 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 11864160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895540672).

11864160000 is an abundant number, since it is smaller than the sum of its proper divisors (41926921344).

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

11864160000 is a wasteful number, since it uses less digits than its factorization.

11864160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11864160000 in words is "eleven billion, eight hundred sixty-four million, one hundred sixty thousand".