13713185400 has 192 divisors, whose sum is σ = 44968252800. Its totient is φ = 3447360000.

The previous prime is 13713185359. The next prime is 13713185429. The reversal of 13713185400 is 458131731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402550 + ... + 2408250.

It is an arithmetic number, because the mean of its divisors is an integer number (234209650).

Almost surely, 2^13713185400 is an apocalyptic number.

13713185400 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 13713185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484126400).

13713185400 is an abundant number, since it is smaller than the sum of its proper divisors (31255067400).

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

13713185400 is a wasteful number, since it uses less digits than its factorization.

13713185400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 13713185400 in words is "thirteen billion, seven hundred thirteen million, one hundred eighty-five thousand, four hundred".