13696486560 has 768 divisors, whose sum is σ = 53887680000. Its totient is φ = 3232825344.

The previous prime is 13696486537. The next prime is 13696486561. The reversal of 13696486560 is 6568469631.

13696486560 is a `hidden beast` number, since 1 + 36 + 9 + 6 + 48 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13696486497 and 13696486506.

It is not an unprimeable number, because it can be changed into a prime (13696486561) 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, 125655786 + ... + 125655894.

It is an arithmetic number, because the mean of its divisors is an integer number (70166250).

Almost surely, 2^13696486560 is an apocalyptic number.

13696486560 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 13696486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943840000).

13696486560 is an abundant number, since it is smaller than the sum of its proper divisors (40191193440).

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

13696486560 is a wasteful number, since it uses less digits than its factorization.

13696486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13696486560 in words is "thirteen billion, six hundred ninety-six million, four hundred eighty-six thousand, five hundred sixty".