27256428576 has 576 divisors, whose sum is σ = 94588445952. Its totient is φ = 7357464576.

The previous prime is 27256428541. The next prime is 27256428583. The reversal of 27256428576 is 67582465272.

27256428576 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 64 + 2 + 8 + 576 = 666.

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, 62947656 + ... + 62948088.

It is an arithmetic number, because the mean of its divisors is an integer number (164216052).

Almost surely, 2^27256428576 is an apocalyptic number.

27256428576 is a gapful number since it is divisible by the number (26) 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 27256428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47294222976).

27256428576 is an abundant number, since it is smaller than the sum of its proper divisors (67332017376).

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

27256428576 is a wasteful number, since it uses less digits than its factorization.

27256428576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 27256428576 in words is "twenty-seven billion, two hundred fifty-six million, four hundred twenty-eight thousand, five hundred seventy-six".