27293430311312 has 80 divisors (see below), whose sum is σ = 59203363539840. Its totient is φ = 12084252364800.

The previous prime is 27293430311291. The next prime is 27293430311333. The reversal of 27293430311312 is 21311303439272.

It is an interprime number because it is at equal distance from previous prime (27293430311291) and next prime (27293430311333).

It is a super-2 number, since 2×27293430311312² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27293430311312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11235137 + ... + 13446752.

It is an arithmetic number, because the mean of its divisors is an integer number (740042044248).

Almost surely, 2^{27293430311312} is an apocalyptic number.

27293430311312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27293430311312 is an abundant number, since it is smaller than the sum of its proper divisors (31909933228528).

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

27293430311312 is a wasteful number, since it uses less digits than its factorization.

27293430311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682072 (or 24682066 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 27293430311312 in words is "twenty-seven trillion, two hundred ninety-three billion, four hundred thirty million, three hundred eleven thousand, three hundred twelve".