25799286240 has 1536 divisors, whose sum is σ = 120301977600. Its totient is φ = 5016453120.

The previous prime is 25799286229. The next prime is 25799286263. The reversal of 25799286240 is 4268299752.

25799286240 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 9 + 2 + 8 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 353414844 + ... + 353414916.

It is an arithmetic number, because the mean of its divisors is an integer number (78321600).

Almost surely, 2^25799286240 is an apocalyptic number.

25799286240 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 25799286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60150988800).

25799286240 is an abundant number, since it is smaller than the sum of its proper divisors (94502691360).

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

25799286240 is a wasteful number, since it uses less digits than its factorization.

25799286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25799286240 in words is "twenty-five billion, seven hundred ninety-nine million, two hundred eighty-six thousand, two hundred forty".