25975585440 has 960 divisors, whose sum is σ = 111703173120. Its totient is φ = 5556418560.

The previous prime is 25975585429. The next prime is 25975585481. The reversal of 25975585440 is 4458557952.

25975585440 is a `hidden beast` number, since 2 + 5 + 97 + 5 + 5 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123106935 + ... + 123107145.

It is an arithmetic number, because the mean of its divisors is an integer number (116357472).

Almost surely, 2^25975585440 is an apocalyptic number.

25975585440 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 25975585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851586560).

25975585440 is an abundant number, since it is smaller than the sum of its proper divisors (85727587680).

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

25975585440 is a wasteful number, since it uses less digits than its factorization.

25975585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 25975585440 in words is "twenty-five billion, nine hundred seventy-five million, five hundred eighty-five thousand, four hundred forty".