12860028720 has 640 divisors, whose sum is σ = 55676436480. Its totient is φ = 2650475520.

The previous prime is 12860028707. The next prime is 12860028733. The reversal of 12860028720 is 2782006821.

It is a happy number.

12860028720 is a `hidden beast` number, since 1 + 2 + 8 + 600 + 28 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12860028707) and next prime (12860028733).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27775209 + ... + 27775671.

It is an arithmetic number, because the mean of its divisors is an integer number (86994432).

Almost surely, 2^12860028720 is an apocalyptic number.

12860028720 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 12860028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27838218240).

12860028720 is an abundant number, since it is smaller than the sum of its proper divisors (42816407760).

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

12860028720 is a wasteful number, since it uses less digits than its factorization.

12860028720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12860028720 in words is "twelve billion, eight hundred sixty million, twenty-eight thousand, seven hundred twenty".