15672142886400 has 5760 divisors, whose sum is σ = 82980448911360. Its totient is φ = 2715254784000.

The previous prime is 15672142886399. The next prime is 15672142886473. The reversal of 15672142886400 is 468824127651.

15672142886400 is a `hidden beast` number, since 1 + 56 + 72 + 1 + 42 + 8 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 50392742245 + ... + 50392742555.

It is an arithmetic number, because the mean of its divisors is an integer number (14406327936).

Almost surely, 2^{15672142886400} is an apocalyptic number.

15672142886400 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 15672142886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41490224455680).

15672142886400 is an abundant number, since it is smaller than the sum of its proper divisors (67308306024960).

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

15672142886400 is a wasteful number, since it uses less digits than its factorization.

15672142886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 15672142886400 in words is "fifteen trillion, six hundred seventy-two billion, one hundred forty-two million, eight hundred eighty-six thousand, four hundred".