13172582753952 has 96 divisors (see below), whose sum is σ = 36634821616512. Its totient is φ = 4130002550784.

The previous prime is 13172582753921. The next prime is 13172582753971. The reversal of 13172582753952 is 25935728527131.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111288 + ... + 5133960.

It is an arithmetic number, because the mean of its divisors is an integer number (381612725172).

Almost surely, 2^{13172582753952} is an apocalyptic number.

13172582753952 is a gapful number since it is divisible by the number (12) 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 13172582753952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317410808256).

13172582753952 is an abundant number, since it is smaller than the sum of its proper divisors (23462238862560).

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

13172582753952 is a wasteful number, since it uses less digits than its factorization.

13172582753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024310 (or 5024302 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 60.

The spelling of 13172582753952 in words is "thirteen trillion, one hundred seventy-two billion, five hundred eighty-two million, seven hundred fifty-three thousand, nine hundred fifty-two".