25780904532 has 240 divisors, whose sum is σ = 74585871360. Its totient is φ = 7728473088.

The previous prime is 25780904507. The next prime is 25780904543. The reversal of 25780904532 is 23540908752.

25780904532 is a `hidden beast` number, since 2 + 578 + 0 + 9 + 0 + 45 + 32 = 666.

It is a super-3 number, since 3×25780904532³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16451613 + ... + 16453179.

It is an arithmetic number, because the mean of its divisors is an integer number (310774464).

Almost surely, 2^25780904532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25780904532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37292935680).

25780904532 is an abundant number, since it is smaller than the sum of its proper divisors (48804966828).

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

25780904532 is a wasteful number, since it uses less digits than its factorization.

25780904532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 25780904532 in words is "twenty-five billion, seven hundred eighty million, nine hundred four thousand, five hundred thirty-two".