27331322313372 has 144 divisors (see below), whose sum is σ = 80959280467968. Its totient is φ = 7096398247680.

The previous prime is 27331322313367. The next prime is 27331322313401.

27331322313372 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16593208 + ... + 18165824.

It is an arithmetic number, because the mean of its divisors is an integer number (562217225472).

Almost surely, 2^{27331322313372} is an apocalyptic number.

27331322313372 is a gapful number since it is divisible by the number (22) 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 27331322313372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40479640233984).

27331322313372 is an abundant number, since it is smaller than the sum of its proper divisors (53627958154596).

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

27331322313372 is a wasteful number, since it uses less digits than its factorization.

27331322313372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575336 (or 1575327 counting only the distinct ones).

The product of its digits is 571536, while the sum is 42.

The spelling of 27331322313372 in words is "twenty-seven trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred seventy-two".