25730210688 has 256 divisors, whose sum is σ = 84996387840. Its totient is φ = 6715146240.

The previous prime is 25730210657. The next prime is 25730210731. The reversal of 25730210688 is 88601203752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385773 + ... + 3393363.

It is an arithmetic number, because the mean of its divisors is an integer number (332017140).

Almost surely, 2^25730210688 is an apocalyptic number.

25730210688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25730210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42498193920).

25730210688 is an abundant number, since it is smaller than the sum of its proper divisors (59266177152).

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

25730210688 is a wasteful number, since it uses less digits than its factorization.

25730210688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 25730210688 in words is "twenty-five billion, seven hundred thirty million, two hundred ten thousand, six hundred eighty-eight".