13701982800 has 120 divisors (see below), whose sum is σ = 47882247840. Its totient is φ = 3321689600.

The previous prime is 13701982771. The next prime is 13701982817. The reversal of 13701982800 is 828910731.

It is a tau number, because it is divible by the number of its divisors (120).

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, 505815 + ... + 532214.

It is an arithmetic number, because the mean of its divisors is an integer number (399018732).

Almost surely, 2^13701982800 is an apocalyptic number.

13701982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13701982800 is an abundant number, since it is smaller than the sum of its proper divisors (34180265040).

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

13701982800 is a wasteful number, since it uses less digits than its factorization.

13701982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038061 (or 1038050 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 13701982800 in words is "thirteen billion, seven hundred one million, nine hundred eighty-two thousand, eight hundred".