11811931872000 has 864 divisors, whose sum is σ = 42601709928960. Its totient is φ = 2899465420800.

The previous prime is 11811931871959. The next prime is 11811931872001. The reversal of 11811931872000 is 27813911811.

It is not an unprimeable number, because it can be changed into a prime (11811931872001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7576607221 + ... + 7576608779.

It is an arithmetic number, because the mean of its divisors is an integer number (49307534640).

Almost surely, 2^{11811931872000} is an apocalyptic number.

11811931872000 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 11811931872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300854964480).

11811931872000 is an abundant number, since it is smaller than the sum of its proper divisors (30789778056960).

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

11811931872000 is a wasteful number, since it uses less digits than its factorization.

11811931872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 42.

The spelling of 11811931872000 in words is "eleven trillion, eight hundred eleven billion, nine hundred thirty-one million, eight hundred seventy-two thousand".