13980072600 has 576 divisors, whose sum is σ = 52921508640. Its totient is φ = 3284582400.

The previous prime is 13980072577. The next prime is 13980072611. The reversal of 13980072600 is 627008931.

13980072600 is a `hidden beast` number, since 1 + 398 + 0 + 0 + 7 + 260 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 58008480 + ... + 58008720.

Almost surely, 2^13980072600 is an apocalyptic number.

13980072600 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 13980072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460754320).

13980072600 is an abundant number, since it is smaller than the sum of its proper divisors (38941436040).

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

13980072600 is a wasteful number, since it uses less digits than its factorization.

13980072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13980072600 in words is "thirteen billion, nine hundred eighty million, seventy-two thousand, six hundred".