29027640625 has 63 divisors (see below), whose sum is σ = 38394957757. Its totient is φ = 21944300000.

The previous prime is 29027640611. The next prime is 29027640637. The reversal of 29027640625 is 52604672092.

The square root of 29027640625 is 170375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 24598471921 + 4429168704 = 156839^2 + 66552^2 .

It is not a de Polignac number, because 29027640625 - 2⁹ = 29027640113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 617609352 + ... + 617609398.

Almost surely, 2^29027640625 is an apocalyptic number.

29027640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29027640625 is the 170375-th square number.

29027640625 is the 85188-th centered octagonal number.

It is an amenable number.

29027640625 is a deficient number, since it is larger than the sum of its proper divisors (9367317132).

29027640625 is an frugal number, since it uses more digits than its factorization.

29027640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 29027640625 in words is "twenty-nine billion, twenty-seven million, six hundred forty thousand, six hundred twenty-five".