5640886253025 has 189 divisors, whose sum is σ = 10677182803227. Its totient is φ = 2954948428800.

The previous prime is 5640886252999. The next prime is 5640886253047. The reversal of 5640886253025 is 5203526880465.

The square root of 5640886253025 is 2375055.

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

5640886253025 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 8 + 8 + 625 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1773480821841 + 3867405431184 = 1331721^2 + 1966572^2 .

It is not a de Polignac number, because 5640886253025 - 2⁵ = 5640886252993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 23406166905 + ... + 23406167145.

Almost surely, 2^{5640886253025} is an apocalyptic number.

5640886253025 is the 2375055-th square number.

5640886253025 is the 1187528-th centered octagonal number.

It is an amenable number.

5640886253025 is a deficient number, since it is larger than the sum of its proper divisors (5036296550202).

5640886253025 is an frugal number, since it uses more digits than its factorization.

5640886253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 5640886253025 in words is "five trillion, six hundred forty billion, eight hundred eighty-six million, two hundred fifty-three thousand, twenty-five".