12772515402432 has 112 divisors (see below), whose sum is σ = 37571336287200. Its totient is φ = 4254953241600.

The previous prime is 12772515402419. The next prime is 12772515402469. The reversal of 12772515402432 is 23420451527721.

12772515402432 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 2 + 51 + 540 + 24 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669682 + ... + 5098382.

Almost surely, 2^{12772515402432} is an apocalyptic number.

12772515402432 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 12772515402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785668143600).

12772515402432 is an abundant number, since it is smaller than the sum of its proper divisors (24798820884768).

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

12772515402432 is a wasteful number, since it uses less digits than its factorization.

12772515402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430391 (or 4430375 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 12772515402432 in words is "twelve trillion, seven hundred seventy-two billion, five hundred fifteen million, four hundred two thousand, four hundred thirty-two".