13696421760 has 512 divisors, whose sum is σ = 55814400000. Its totient is φ = 3109404672.

The previous prime is 13696421743. The next prime is 13696421771. The reversal of 13696421760 is 6712469631.

13696421760 is a `hidden beast` number, since 136 + 96 + 421 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24070756 + ... + 24071324.

It is an arithmetic number, because the mean of its divisors is an integer number (109012500).

Almost surely, 2^13696421760 is an apocalyptic number.

13696421760 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 13696421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200000).

13696421760 is an abundant number, since it is smaller than the sum of its proper divisors (42117978240).

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

13696421760 is a wasteful number, since it uses less digits than its factorization.

13696421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13696421760 in words is "thirteen billion, six hundred ninety-six million, four hundred twenty-one thousand, seven hundred sixty".