25895802240 has 1152 divisors, whose sum is σ = 119721888000. Its totient is φ = 5086126080.

The previous prime is 25895802209. The next prime is 25895802263. The reversal of 25895802240 is 4220859852.

25895802240 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 580 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58987941 + ... + 58988379.

It is an arithmetic number, because the mean of its divisors is an integer number (103925250).

Almost surely, 2^25895802240 is an apocalyptic number.

25895802240 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 25895802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59860944000).

25895802240 is an abundant number, since it is smaller than the sum of its proper divisors (93826085760).

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

25895802240 is a wasteful number, since it uses less digits than its factorization.

25895802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25895802240 in words is "twenty-five billion, eight hundred ninety-five million, eight hundred two thousand, two hundred forty".