13601827680 has 144 divisors (see below), whose sum is σ = 49841069040. Its totient is φ = 3108983808.

The previous prime is 13601827649. The next prime is 13601827691. The reversal of 13601827680 is 8672810631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265635 + ... + 312674.

It is an arithmetic number, because the mean of its divisors is an integer number (346118535).

Almost surely, 2^13601827680 is an apocalyptic number.

13601827680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13601827680 is an abundant number, since it is smaller than the sum of its proper divisors (36239241360).

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

13601827680 is a wasteful number, since it uses less digits than its factorization.

13601827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578341 (or 578326 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 13601827680 in words is "thirteen billion, six hundred one million, eight hundred twenty-seven thousand, six hundred eighty".