27625263583332 has 96 divisors (see below), whose sum is σ = 68672864332800. Its totient is φ = 8618178425472.

The previous prime is 27625263583327. The next prime is 27625263583363. The reversal of 27625263583332 is 23338536252672.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496481169 + ... + 496536807.

It is an arithmetic number, because the mean of its divisors is an integer number (715342336800).

Almost surely, 2^{27625263583332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27625263583332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34336432166400).

27625263583332 is an abundant number, since it is smaller than the sum of its proper divisors (41047600749468).

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

27625263583332 is a wasteful number, since it uses less digits than its factorization.

27625263583332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81985 (or 81983 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 57.

The spelling of 27625263583332 in words is "twenty-seven trillion, six hundred twenty-five billion, two hundred sixty-three million, five hundred eighty-three thousand, three hundred thirty-two".