25785901680 has 1280 divisors, whose sum is σ = 114095554560. Its totient is φ = 4653158400.

The previous prime is 25785901651. The next prime is 25785901697. The reversal of 25785901680 is 8610958752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 250348509 + ... + 250348611.

It is an arithmetic number, because the mean of its divisors is an integer number (89137152).

Almost surely, 2^25785901680 is an apocalyptic number.

25785901680 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 25785901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57047777280).

25785901680 is an abundant number, since it is smaller than the sum of its proper divisors (88309652880).

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

25785901680 is a wasteful number, since it uses less digits than its factorization.

25785901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 25785901680 in words is "twenty-five billion, seven hundred eighty-five million, nine hundred one thousand, six hundred eighty".