13508205696 has 96 divisors (see below), whose sum is σ = 38934966720. Its totient is φ = 4495357440.

The previous prime is 13508205673. The next prime is 13508205703. The reversal of 13508205696 is 69650280531.

13508205696 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 82 + 0 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13508205696² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717621 + ... + 736203.

It is an arithmetic number, because the mean of its divisors is an integer number (405572570).

Almost surely, 2^13508205696 is an apocalyptic number.

13508205696 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 13508205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19467483360).

13508205696 is an abundant number, since it is smaller than the sum of its proper divisors (25426761024).

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

13508205696 is a wasteful number, since it uses less digits than its factorization.

13508205696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19234 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13508205696 in words is "thirteen billion, five hundred eight million, two hundred five thousand, six hundred ninety-six".