27625099264 has 195 divisors, whose sum is σ = 65685783233. Its totient is φ = 11615944704.

The previous prime is 27625099259. The next prime is 27625099277. The reversal of 27625099264 is 46299052672.

The square root of 27625099264 is 166208.

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., 19914854400 + 7710244864 = 141120^2 + 87808^2 .

It is a super-2 number, since 2×27625099264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 521228262 + ... + 521228314.

Almost surely, 2^27625099264 is an apocalyptic number.

27625099264 is the 166208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27625099264

27625099264 is an abundant number, since it is smaller than the sum of its proper divisors (38060683969).

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

27625099264 is an frugal number, since it uses more digits than its factorization.

27625099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 27625099264 in words is "twenty-seven billion, six hundred twenty-five million, ninety-nine thousand, two hundred sixty-four".