27964574825 has 24 divisors (see below), whose sum is σ = 38039842080. Its totient is φ = 20224217600.

The previous prime is 27964574819. The next prime is 27964574831. The reversal of 27964574825 is 52847546972.

It is an interprime number because it is at equal distance from previous prime (27964574819) and next prime (27964574831).

It is not a de Polignac number, because 27964574825 - 2⁴ = 27964574809 is a prime.

It is a hoax number, since the sum of its digits (59) 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 23 ways as a sum of consecutive naturals, for example, 234824 + ... + 333273.

It is an arithmetic number, because the mean of its divisors is an integer number (1584993420).

Almost surely, 2^27964574825 is an apocalyptic number.

27964574825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27964574825 is a deficient number, since it is larger than the sum of its proper divisors (10075267255).

27964574825 is a wasteful number, since it uses less digits than its factorization.

27964574825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568297 (or 568292 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 59.

The spelling of 27964574825 in words is "twenty-seven billion, nine hundred sixty-four million, five hundred seventy-four thousand, eight hundred twenty-five".