25781352960 has 320 divisors, whose sum is σ = 91074170880. Its totient is φ = 6169313280.

The previous prime is 25781352943. The next prime is 25781352973. The reversal of 25781352960 is 6925318752.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6671989 + ... + 6675851.

It is an arithmetic number, because the mean of its divisors is an integer number (284606784).

Almost surely, 2^25781352960 is an apocalyptic number.

25781352960 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 25781352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45537085440).

25781352960 is an abundant number, since it is smaller than the sum of its proper divisors (65292817920).

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

25781352960 is a wasteful number, since it uses less digits than its factorization.

25781352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 25781352960 in words is "twenty-five billion, seven hundred eighty-one million, three hundred fifty-two thousand, nine hundred sixty".