25890587520 has 512 divisors, whose sum is σ = 98374348800. Its totient is φ = 5666734080.

The previous prime is 25890587507. The next prime is 25890587531. The reversal of 25890587520 is 2578509852.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70546377 + ... + 70546743.

It is an arithmetic number, because the mean of its divisors is an integer number (192137400).

Almost surely, 2^25890587520 is an apocalyptic number.

25890587520 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 25890587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49187174400).

25890587520 is an abundant number, since it is smaller than the sum of its proper divisors (72483761280).

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

25890587520 is a wasteful number, since it uses less digits than its factorization.

25890587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 25890587520 in words is "twenty-five billion, eight hundred ninety million, five hundred eighty-seven thousand, five hundred twenty".