15005683968000 has 384 divisors, whose sum is σ = 54465547893120. Its totient is φ = 3637739520000.

The previous prime is 15005683967987. The next prime is 15005683968017. The reversal of 15005683968000 is 86938650051.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7559880 + ... + 9336120.

It is an arithmetic number, because the mean of its divisors is an integer number (141837364305).

Almost surely, 2^{15005683968000} is an apocalyptic number.

15005683968000 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 15005683968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27232773946560).

15005683968000 is an abundant number, since it is smaller than the sum of its proper divisors (39459863925120).

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

15005683968000 is a wasteful number, since it uses less digits than its factorization.

15005683968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776292 (or 1776262 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 15005683968000 in words is "fifteen trillion, five billion, six hundred eighty-three million, nine hundred sixty-eight thousand".