27264872369952 has 576 divisors, whose sum is σ = 94210215450624. Its totient is φ = 7593812674560.

The previous prime is 27264872369939. The next prime is 27264872369963. The reversal of 27264872369952 is 25996327846272.

27264872369952 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 487 + 2 + 3 + 6 + 99 + 52 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3229283043 + ... + 3229291485.

It is an arithmetic number, because the mean of its divisors is an integer number (163559401824).

Almost surely, 2^{27264872369952} 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 27264872369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47105107725312).

27264872369952 is an abundant number, since it is smaller than the sum of its proper divisors (66945343080672).

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

27264872369952 is a wasteful number, since it uses less digits than its factorization.

27264872369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9943 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 27264872369952 in words is "twenty-seven trillion, two hundred sixty-four billion, eight hundred seventy-two million, three hundred sixty-nine thousand, nine hundred fifty-two".