13701340800 has 1152 divisors, whose sum is σ = 60836880000. Its totient is φ = 2926264320.

The previous prime is 13701340799. The next prime is 13701340811. The reversal of 13701340800 is 804310731.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 187689564 + ... + 187689636.

Almost surely, 2^13701340800 is an apocalyptic number.

13701340800 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 13701340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30418440000).

13701340800 is an abundant number, since it is smaller than the sum of its proper divisors (47135539200).

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

13701340800 is a wasteful number, since it uses less digits than its factorization.

13701340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13701340800 in words is "thirteen billion, seven hundred one million, three hundred forty thousand, eight hundred".