13639680000 has 510 divisors, whose sum is σ = 50569026794. Its totient is φ = 3538944000.

The previous prime is 13639679953. The next prime is 13639680053. The reversal of 13639680000 is 8693631.

It is a happy number.

13639680000 is a `hidden beast` number, since 13 + 639 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2569273344 + 11070406656 = 50688^2 + 105216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 368639982 + ... + 368640018.

Almost surely, 2^13639680000 is an apocalyptic number.

13639680000 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 13639680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25284513397).

13639680000 is an abundant number, since it is smaller than the sum of its proper divisors (36929346794).

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

13639680000 is an frugal number, since it uses more digits than its factorization.

13639680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13639680000 in words is "thirteen billion, six hundred thirty-nine million, six hundred eighty thousand".