25905617920 has 528 divisors, whose sum is σ = 79976453760. Its totient is φ = 8024260608.

The previous prime is 25905617917. The next prime is 25905617929. The reversal of 25905617920 is 2971650952.

It is a super-2 number, since 2×25905617920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25905617929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551183337 + ... + 551183383.

Almost surely, 2^25905617920 is an apocalyptic number.

25905617920 is a gapful number since it is divisible by the number (20) 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 25905617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988226880).

25905617920 is an abundant number, since it is smaller than the sum of its proper divisors (54070835840).

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

25905617920 is an equidigital number, since it uses as much as digits as its factorization.

25905617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 25905617920 in words is "twenty-five billion, nine hundred five million, six hundred seventeen thousand, nine hundred twenty".