25809122880 has 448 divisors, whose sum is σ = 94071521280. Its totient is φ = 6657251328.

The previous prime is 25809122827. The next prime is 25809122897. The reversal of 25809122880 is 8822190852.

It is a super-2 number, since 2×25809122880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 47182767 + ... + 47183313.

Almost surely, 2^25809122880 is an apocalyptic number.

25809122880 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 25809122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47035760640).

25809122880 is an abundant number, since it is smaller than the sum of its proper divisors (68262398400).

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

25809122880 is a wasteful number, since it uses less digits than its factorization.

25809122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 25809122880 in words is "twenty-five billion, eight hundred nine million, one hundred twenty-two thousand, eight hundred eighty".