12639517672320 has 1024 divisors, whose sum is σ = 55887604992000. Its totient is φ = 2622782177280.

The previous prime is 12639517672291. The next prime is 12639517672403. The reversal of 12639517672320 is 2327671593621.

12639517672320 is a `hidden beast` number, since 1 + 2 + 6 + 39 + 517 + 6 + 72 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1028516736 + ... + 1028529024.

It is an arithmetic number, because the mean of its divisors is an integer number (54577739250).

Almost surely, 2^{12639517672320} is an apocalyptic number.

12639517672320 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 12639517672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27943802496000).

12639517672320 is an abundant number, since it is smaller than the sum of its proper divisors (43248087319680).

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

12639517672320 is a wasteful number, since it uses less digits than its factorization.

12639517672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 12639517672320 in words is "twelve trillion, six hundred thirty-nine billion, five hundred seventeen million, six hundred seventy-two thousand, three hundred twenty".