13052825180928 has 720 divisors, whose sum is σ = 44533337513280. Its totient is φ = 3772874391552.

The previous prime is 13052825180903. The next prime is 13052825180951. The reversal of 13052825180928 is 82908152825031.

13052825180928 is a `hidden beast` number, since 1 + 3 + 0 + 528 + 25 + 1 + 8 + 0 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289223901 + ... + 289269027.

Almost surely, 2^{13052825180928} is an apocalyptic number.

13052825180928 is a gapful number since it is divisible by the number (18) 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 13052825180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266668756640).

13052825180928 is an abundant number, since it is smaller than the sum of its proper divisors (31480512332352).

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

13052825180928 is a wasteful number, since it uses less digits than its factorization.

13052825180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45234 (or 45211 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 13052825180928 in words is "thirteen trillion, fifty-two billion, eight hundred twenty-five million, one hundred eighty thousand, nine hundred twenty-eight".