13697712000 has 768 divisors, whose sum is σ = 57191546880. Its totient is φ = 3077222400.

The previous prime is 13697711999. The next prime is 13697712023. The reversal of 13697712000 is 21779631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107855937 + ... + 107856063.

It is an arithmetic number, because the mean of its divisors is an integer number (74468160).

Almost surely, 2^13697712000 is an apocalyptic number.

13697712000 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 13697712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28595773440).

13697712000 is an abundant number, since it is smaller than the sum of its proper divisors (43493834880).

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

13697712000 is a wasteful number, since it uses less digits than its factorization.

13697712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13697712000 in words is "thirteen billion, six hundred ninety-seven million, seven hundred twelve thousand".