12872335560 has 256 divisors, whose sum is σ = 46631116800. Its totient is φ = 2780101632.

The previous prime is 12872335471. The next prime is 12872335579. The reversal of 12872335560 is 6553327821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139299 + ... + 1150541.

It is an arithmetic number, because the mean of its divisors is an integer number (182152800).

Almost surely, 2^12872335560 is an apocalyptic number.

12872335560 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 12872335560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315558400).

12872335560 is an abundant number, since it is smaller than the sum of its proper divisors (33758781240).

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

12872335560 is a wasteful number, since it uses less digits than its factorization.

12872335560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 12872335560 in words is "twelve billion, eight hundred seventy-two million, three hundred thirty-five thousand, five hundred sixty".