27968405225 has 12 divisors (see below), whose sum is σ = 35526697500. Its totient is φ = 21828998400.

The previous prime is 27968405183. The next prime is 27968405239. The reversal of 27968405225 is 52250486972.

It can be written as a sum of positive squares in 6 ways, for example, as 9479748496 + 18488656729 = 97364^2 + 135973^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27968405225 is a prime.

It is a super-3 number, since 3×27968405225³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13642100 + ... + 13644149.

It is an arithmetic number, because the mean of its divisors is an integer number (2960558125).

Almost surely, 2^27968405225 is an apocalyptic number.

27968405225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27968405225 is a deficient number, since it is larger than the sum of its proper divisors (7558292275).

27968405225 is a wasteful number, since it uses less digits than its factorization.

27968405225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27286300 (or 27286295 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 27968405225 in words is "twenty-seven billion, nine hundred sixty-eight million, four hundred five thousand, two hundred twenty-five".