15872840256 has 448 divisors, whose sum is σ = 53717561856. Its totient is φ = 4025548800.

The previous prime is 15872840239. The next prime is 15872840257. The reversal of 15872840256 is 65204827851.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (15872840257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56486836 + ... + 56487116.

It is an arithmetic number, because the mean of its divisors is an integer number (119905272).

Almost surely, 2^15872840256 is an apocalyptic number.

15872840256 is a gapful number since it is divisible by the number (16) 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 15872840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858780928).

15872840256 is an abundant number, since it is smaller than the sum of its proper divisors (37844721600).

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

15872840256 is a wasteful number, since it uses less digits than its factorization.

15872840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 15872840256 in words is "fifteen billion, eight hundred seventy-two million, eight hundred forty thousand, two hundred fifty-six".