12700615680 has 528 divisors, whose sum is σ = 48191030784. Its totient is φ = 3078881280.

The previous prime is 12700615679. The next prime is 12700615693. The reversal of 12700615680 is 8651600721.

It is a super-2 number, since 2×12700615680² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 24283899 + ... + 24284421.

Almost surely, 2^12700615680 is an apocalyptic number.

12700615680 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 12700615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095515392).

12700615680 is an abundant number, since it is smaller than the sum of its proper divisors (35490415104).

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

12700615680 is a wasteful number, since it uses less digits than its factorization.

12700615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12700615680 in words is "twelve billion, seven hundred million, six hundred fifteen thousand, six hundred eighty".