15871872509952 has 288 divisors, whose sum is σ = 43614421250400. Its totient is φ = 5132818907136.

The previous prime is 15871872509891. The next prime is 15871872509981. The reversal of 15871872509952 is 25990527817851.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137351199 + ... + 3137356257.

It is an arithmetic number, because the mean of its divisors is an integer number (151438962675).

Almost surely, 2^{15871872509952} is an apocalyptic number.

15871872509952 is a gapful number since it is divisible by the number (12) 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 15871872509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807210625200).

15871872509952 is an abundant number, since it is smaller than the sum of its proper divisors (27742548740448).

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

15871872509952 is an equidigital number, since it uses as much as digits as its factorization.

15871872509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 69.

The spelling of 15871872509952 in words is "fifteen trillion, eight hundred seventy-one billion, eight hundred seventy-two million, five hundred nine thousand, nine hundred fifty-two".