12852619756272 has 160 divisors (see below), whose sum is σ = 37446118056960. Its totient is φ = 4219844428800.

The previous prime is 12852619756261. The next prime is 12852619756303. The reversal of 12852619756272 is 27265791625821.

It is a happy number.

12852619756272 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 61 + 9 + 7 + 562 + 7 + 2 = 666.

It is a congruent number.

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, 451541113 + ... + 451569575.

It is an arithmetic number, because the mean of its divisors is an integer number (234038237856).

Almost surely, 2^{12852619756272} is an apocalyptic number.

12852619756272 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 12852619756272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723059028480).

12852619756272 is an abundant number, since it is smaller than the sum of its proper divisors (24593498300688).

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

12852619756272 is a wasteful number, since it uses less digits than its factorization.

12852619756272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44148 (or 44136 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 12852619756272 in words is "twelve trillion, eight hundred fifty-two billion, six hundred nineteen million, seven hundred fifty-six thousand, two hundred seventy-two".