10259572590 has 80 divisors (see below), whose sum is σ = 29209645872. Its totient is φ = 2574948096.

The previous prime is 10259572549. The next prime is 10259572591. The reversal of 10259572590 is 9527595201.

10259572590 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 9 + 57 + 2 + 590 = 666.

10259572590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259572591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358764 + ... + 386303.

Almost surely, 2^10259572590 is an apocalyptic number.

10259572590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10259572590 is an abundant number, since it is smaller than the sum of its proper divisors (18950073282).

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

10259572590 is a wasteful number, since it uses less digits than its factorization.

10259572590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745103 (or 745094 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 10259572590 in words is "ten billion, two hundred fifty-nine million, five hundred seventy-two thousand, five hundred ninety".