13920363800 has 96 divisors (see below), whose sum is σ = 37144051200. Its totient is φ = 4752612480.

The previous prime is 13920363799. The next prime is 13920363869. The reversal of 13920363800 is 836302931.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313799 + ... + 355401.

It is an arithmetic number, because the mean of its divisors is an integer number (386917200).

Almost surely, 2^13920363800 is an apocalyptic number.

13920363800 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 13920363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572025600).

13920363800 is an abundant number, since it is smaller than the sum of its proper divisors (23223687400).

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

13920363800 is a wasteful number, since it uses less digits than its factorization.

13920363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41865 (or 41856 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 13920363800 in words is "thirteen billion, nine hundred twenty million, three hundred sixty-three thousand, eight hundred".