13937287680 has 200 divisors, whose sum is σ = 49919703372. Its totient is φ = 3716554752.

The previous prime is 13937287657. The next prime is 13937287691. The reversal of 13937287680 is 8678273931.

13937287680 is a `hidden beast` number, since 139 + 372 + 87 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 28387584 = 117936^2 + 5328^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173754 + ... + 240966.

Almost surely, 2^13937287680 is an apocalyptic number.

13937287680 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 13937287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24959851686).

13937287680 is an abundant number, since it is smaller than the sum of its proper divisors (35982415692).

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

13937287680 is an frugal number, since it uses more digits than its factorization.

13937287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67248 (or 67223 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13937287680 in words is "thirteen billion, nine hundred thirty-seven million, two hundred eighty-seven thousand, six hundred eighty".