13699760256 has 640 divisors, whose sum is σ = 51197798400. Its totient is φ = 3584673792.

The previous prime is 13699760251. The next prime is 13699760257. The reversal of 13699760256 is 65206799631.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13699760251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107872065 + ... + 107872191.

It is an arithmetic number, because the mean of its divisors is an integer number (79996560).

Almost surely, 2^13699760256 is an apocalyptic number.

13699760256 is a gapful number since it is divisible by the number (16) 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 13699760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598899200).

13699760256 is an abundant number, since it is smaller than the sum of its proper divisors (37498038144).

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

13699760256 is an equidigital number, since it uses as much as digits as its factorization.

13699760256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 13699760256 in words is "thirteen billion, six hundred ninety-nine million, seven hundred sixty thousand, two hundred fifty-six".