13920816600 has 384 divisors, whose sum is σ = 49939660800. Its totient is φ = 3560371200.

The previous prime is 13920816509. The next prime is 13920816607. The reversal of 13920816600 is 661802931.

13920816600 is a `hidden beast` number, since 1 + 39 + 2 + 0 + 8 + 16 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920816607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22933497 + ... + 22934103.

It is an arithmetic number, because the mean of its divisors is an integer number (130051200).

Almost surely, 2^13920816600 is an apocalyptic number.

13920816600 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 13920816600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969830400).

13920816600 is an abundant number, since it is smaller than the sum of its proper divisors (36018844200).

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

13920816600 is a wasteful number, since it uses less digits than its factorization.

13920816600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13920816600 in words is "thirteen billion, nine hundred twenty million, eight hundred sixteen thousand, six hundred".