13272525361920 has 288 divisors, whose sum is σ = 46273511499264. Its totient is φ = 3215437004800.

The previous prime is 13272525361919. The next prime is 13272525361933. The reversal of 13272525361920 is 2916352527231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13272525361920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63720664 + ... + 63928616.

It is an arithmetic number, because the mean of its divisors is an integer number (160671914928).

Almost surely, 2^{13272525361920} is an apocalyptic number.

13272525361920 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 13272525361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23136755749632).

13272525361920 is an abundant number, since it is smaller than the sum of its proper divisors (33000986137344).

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

13272525361920 is a wasteful number, since it uses less digits than its factorization.

13272525361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209499 (or 209485 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 13272525361920 in words is "thirteen trillion, two hundred seventy-two billion, five hundred twenty-five million, three hundred sixty-one thousand, nine hundred twenty".