27577252096 has 81 divisors (see below), whose sum is σ = 56144795889. Its totient is φ = 13518938112.

The previous prime is 27577252063. The next prime is 27577252097. The reversal of 27577252096 is 69025277572.

It is a happy number.

The square root of 27577252096 is 166064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12383238400 + 15194013696 = 111280^2 + 123264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27577252097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 257731275 + ... + 257731381.

Almost surely, 2^27577252096 is an apocalyptic number.

27577252096 is the 166064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27577252096

27577252096 is an abundant number, since it is smaller than the sum of its proper divisors (28567543793).

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

27577252096 is an frugal number, since it uses more digits than its factorization.

27577252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 27577252096 in words is "twenty-seven billion, five hundred seventy-seven million, two hundred fifty-two thousand, ninety-six".