25758653610 has 192 divisors, whose sum is σ = 66030273792. Its totient is φ = 6428160000.

The previous prime is 25758653593. The next prime is 25758653617. The reversal of 25758653610 is 1635685752.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25758653610.

It is not an unprimeable number, because it can be changed into a prime (25758653617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170587035 + ... + 170587185.

It is an arithmetic number, because the mean of its divisors is an integer number (343907676).

Almost surely, 2^25758653610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25758653610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015136896).

25758653610 is an abundant number, since it is smaller than the sum of its proper divisors (40271620182).

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

25758653610 is a wasteful number, since it uses less digits than its factorization.

25758653610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 25758653610 in words is "twenty-five billion, seven hundred fifty-eight million, six hundred fifty-three thousand, six hundred ten".