12153480842360 has 512 divisors, whose sum is σ = 34039769702400. Its totient is φ = 3839405598720.

The previous prime is 12153480842357. The next prime is 12153480842383. The reversal of 12153480842360 is 6324808435121.

12153480842360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12153480842360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18784359557 + ... + 18784360203.

It is an arithmetic number, because the mean of its divisors is an integer number (66483925200).

Almost surely, 2^{12153480842360} is an apocalyptic number.

12153480842360 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 12153480842360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019884851200).

12153480842360 is an abundant number, since it is smaller than the sum of its proper divisors (21886288860040).

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

12153480842360 is a wasteful number, since it uses less digits than its factorization.

12153480842360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 12153480842360 in words is "twelve trillion, one hundred fifty-three billion, four hundred eighty million, eight hundred forty-two thousand, three hundred sixty".