12860870601600 has 3072 divisors, whose sum is σ = 59318108160000. Its totient is φ = 2655136972800.

The previous prime is 12860870601599. The next prime is 12860870601647. The reversal of 12860870601600 is 610607806821.

It is a happy number.

12860870601600 is a `hidden beast` number, since 1 + 28 + 608 + 7 + 0 + 6 + 0 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28141948572 + ... + 28141949028.

It is an arithmetic number, because the mean of its divisors is an integer number (19309280000).

Almost surely, 2^{12860870601600} is an apocalyptic number.

12860870601600 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 12860870601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659054080000).

12860870601600 is an abundant number, since it is smaller than the sum of its proper divisors (46457237558400).

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

12860870601600 is a wasteful number, since it uses less digits than its factorization.

12860870601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12860870601600 in words is "twelve trillion, eight hundred sixty billion, eight hundred seventy million, six hundred one thousand, six hundred".