25790849280 has 1152 divisors, whose sum is σ = 114280857600. Its totient is φ = 5374771200.

The previous prime is 25790849257. The next prime is 25790849281. The reversal of 25790849280 is 8294809752.

25790849280 is a `hidden beast` number, since 2 + 5 + 79 + 0 + 8 + 492 + 80 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (25790849281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142490790 + ... + 142490970.

Almost surely, 2^25790849280 is an apocalyptic number.

25790849280 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 25790849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57140428800).

25790849280 is an abundant number, since it is smaller than the sum of its proper divisors (88490008320).

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

25790849280 is a wasteful number, since it uses less digits than its factorization.

25790849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25790849280 in words is "twenty-five billion, seven hundred ninety million, eight hundred forty-nine thousand, two hundred eighty".