13790700000 has 864 divisors, whose sum is σ = 61421068800. Its totient is φ = 2851200000.

The previous prime is 13790699987. The next prime is 13790700041. The reversal of 13790700000 is 709731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69299901 + ... + 69300099.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^13790700000 is an apocalyptic number.

13790700000 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 13790700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

13790700000 is an abundant number, since it is smaller than the sum of its proper divisors (47630368800).

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

13790700000 is a wasteful number, since it uses less digits than its factorization.

13790700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The spelling of 13790700000 in words is "thirteen billion, seven hundred ninety million, seven hundred thousand".