27252167504232 has 128 divisors (see below), whose sum is σ = 75471504071040. Its totient is φ = 8131606855680.

The previous prime is 27252167504227. The next prime is 27252167504239. The reversal of 27252167504232 is 23240576125272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27252167504239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2343748 + ... + 7745804.

It is an arithmetic number, because the mean of its divisors is an integer number (589621125555).

Almost surely, 2^{27252167504232} is an apocalyptic number.

27252167504232 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 27252167504232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37735752035520).

27252167504232 is an abundant number, since it is smaller than the sum of its proper divisors (48219336566808).

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

27252167504232 is a wasteful number, since it uses less digits than its factorization.

27252167504232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402371 (or 5402367 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 27252167504232 in words is "twenty-seven trillion, two hundred fifty-two billion, one hundred sixty-seven million, five hundred four thousand, two hundred thirty-two".