25781988960 has 1008 divisors, whose sum is σ = 114734518416. Its totient is φ = 5424039936.

The previous prime is 25781988937. The next prime is 25781988971. The reversal of 25781988960 is 6988918752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 74299507 + ... + 74299853.

It is an arithmetic number, because the mean of its divisors is an integer number (113823927).

Almost surely, 2^25781988960 is an apocalyptic number.

25781988960 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 25781988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57367259208).

25781988960 is an abundant number, since it is smaller than the sum of its proper divisors (88952529456).

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

25781988960 is a wasteful number, since it uses less digits than its factorization.

25781988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 25781988960 in words is "twenty-five billion, seven hundred eighty-one million, nine hundred eighty-eight thousand, nine hundred sixty".