27205372460 has 96 divisors (see below), whose sum is σ = 68349173760. Its totient is φ = 8899430400.

The previous prime is 27205372451. The next prime is 27205372487. The reversal of 27205372460 is 6427350272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263996 + ... + 352284.

It is an arithmetic number, because the mean of its divisors is an integer number (711970560).

Almost surely, 2^27205372460 is an apocalyptic number.

27205372460 is a gapful number since it is divisible by the number (20) 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 27205372460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34174586880).

27205372460 is an abundant number, since it is smaller than the sum of its proper divisors (41143801300).

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

27205372460 is a wasteful number, since it uses less digits than its factorization.

27205372460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88407 (or 88405 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 27205372460 in words is "twenty-seven billion, two hundred five million, three hundred seventy-two thousand, four hundred sixty".