13607285852160 has 3072 divisors, whose sum is σ = 65853952819200. Its totient is φ = 2605689077760.

The previous prime is 13607285852143. The next prime is 13607285852183. The reversal of 13607285852160 is 6125858270631.

13607285852160 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 2 + 8 + 58 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 = 13607285852097 and 13607285852106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22417274577 + ... + 22417275183.

It is an arithmetic number, because the mean of its divisors is an integer number (21436833600).

Almost surely, 2^{13607285852160} is an apocalyptic number.

13607285852160 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 13607285852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926976409600).

13607285852160 is an abundant number, since it is smaller than the sum of its proper divisors (52246666967040).

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

13607285852160 is an equidigital number, since it uses as much as digits as its factorization.

13607285852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13607285852160 in words is "thirteen trillion, six hundred seven billion, two hundred eighty-five million, eight hundred fifty-two thousand, one hundred sixty".