15972508110720 has 1024 divisors, whose sum is σ = 61535748096000. Its totient is φ = 3518832844800.

The previous prime is 15972508110701. The next prime is 15972508110743. The reversal of 15972508110720 is 2701180527951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15972508110720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5532561117 + ... + 5532564003.

It is an arithmetic number, because the mean of its divisors is an integer number (60093504000).

Almost surely, 2^{15972508110720} is an apocalyptic number.

15972508110720 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 15972508110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767874048000).

15972508110720 is an abundant number, since it is smaller than the sum of its proper divisors (45563239985280).

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

15972508110720 is a wasteful number, since it uses less digits than its factorization.

15972508110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 48.

The spelling of 15972508110720 in words is "fifteen trillion, nine hundred seventy-two billion, five hundred eight million, one hundred ten thousand, seven hundred twenty".