13701504000 has 352 divisors, whose sum is σ = 47087419392. Its totient is φ = 3532800000.

The previous prime is 13701503999. The next prime is 13701504017. The reversal of 13701504000 is 40510731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11903425 + ... + 11904575.

Almost surely, 2^13701504000 is an apocalyptic number.

13701504000 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 13701504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543709696).

13701504000 is an abundant number, since it is smaller than the sum of its proper divisors (33385915392).

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

13701504000 is a wasteful number, since it uses less digits than its factorization.

13701504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 13701504000 in words is "thirteen billion, seven hundred one million, five hundred four thousand".