18861795072000 has 576 divisors, whose sum is σ = 68647382556480. Its totient is φ = 4980916224000.

The previous prime is 18861795071971. The next prime is 18861795072031. The reversal of 18861795072000 is 27059716881.

18861795072000 is a `hidden beast` number, since 1 + 8 + 8 + 61 + 79 + 507 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237272260 + ... + 237351740.

It is an arithmetic number, because the mean of its divisors is an integer number (119179483605).

Almost surely, 2^{18861795072000} is an apocalyptic number.

18861795072000 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 18861795072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34323691278240).

18861795072000 is an abundant number, since it is smaller than the sum of its proper divisors (49785587484480).

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

18861795072000 is a wasteful number, since it uses less digits than its factorization.

18861795072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79627 (or 79594 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 18861795072000 in words is "eighteen trillion, eight hundred sixty-one billion, seven hundred ninety-five million, seventy-two thousand".