13696488960 has 1280 divisors, whose sum is σ = 61093232640. Its totient is φ = 2530344960.

The previous prime is 13696488947. The next prime is 13696488961. The reversal of 13696488960 is 6988469631.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13696488894 and 13696488903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696488961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258424294 + ... + 258424346.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 2^13696488960 is an apocalyptic number.

13696488960 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 13696488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30546616320).

13696488960 is an abundant number, since it is smaller than the sum of its proper divisors (47396743680).

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

13696488960 is a wasteful number, since it uses less digits than its factorization.

13696488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 13696488960 in words is "thirteen billion, six hundred ninety-six million, four hundred eighty-eight thousand, nine hundred sixty".