13801039200 has 864 divisors, whose sum is σ = 56052412416. Its totient is φ = 3292047360.

The previous prime is 13801039199. The next prime is 13801039211. The reversal of 13801039200 is 293010831.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 108669537 + ... + 108669663.

Almost surely, 2^13801039200 is an apocalyptic number.

13801039200 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 13801039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026206208).

13801039200 is an abundant number, since it is smaller than the sum of its proper divisors (42251373216).

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

13801039200 is a wasteful number, since it uses less digits than its factorization.

13801039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13801039200 in words is "thirteen billion, eight hundred one million, thirty-nine thousand, two hundred".