12795190272 has 132 divisors (see below), whose sum is σ = 38314943576. Its totient is φ = 4264980480.

The previous prime is 12795190271. The next prime is 12795190307. The reversal of 12795190272 is 27209159721.

12795190272 is a `hidden beast` number, since 127 + 9 + 519 + 0 + 2 + 7 + 2 = 666.

It is a super-4 number, since 4×12795190272⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12795190271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223122 + ... + 274542.

Almost surely, 2^12795190272 is an apocalyptic number.

12795190272 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 12795190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157471788).

12795190272 is an abundant number, since it is smaller than the sum of its proper divisors (25519753304).

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

12795190272 is an frugal number, since it uses more digits than its factorization.

12795190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51456 (or 51426 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 12795190272 in words is "twelve billion, seven hundred ninety-five million, one hundred ninety thousand, two hundred seventy-two".