15875876880 has 200 divisors, whose sum is σ = 55359628632. Its totient is φ = 4216651776.

The previous prime is 15875876843. The next prime is 15875876903. The reversal of 15875876880 is 8867857851.

It can be written as a sum of positive squares in 4 ways, for example, as 3268180224 + 12607696656 = 57168^2 + 112284^2 .

It is a super-3 number, since 3×15875876880³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1660594 + ... + 1670126.

Almost surely, 2^15875876880 is an apocalyptic number.

15875876880 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 15875876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679814316).

15875876880 is an abundant number, since it is smaller than the sum of its proper divisors (39483751752).

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

15875876880 is a wasteful number, since it uses less digits than its factorization.

15875876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 63.

The spelling of 15875876880 in words is "fifteen billion, eight hundred seventy-five million, eight hundred seventy-six thousand, eight hundred eighty".