25787300760 has 192 divisors, whose sum is σ = 90663955200. Its totient is φ = 6318922752.

The previous prime is 25787300723. The next prime is 25787300789. The reversal of 25787300760 is 6700378752.

25787300760 is a `hidden beast` number, since 2 + 578 + 7 + 3 + 0 + 0 + 76 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1031286 + ... + 1055994.

It is an arithmetic number, because the mean of its divisors is an integer number (472208100).

Almost surely, 2^25787300760 is an apocalyptic number.

25787300760 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 25787300760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45331977600).

25787300760 is an abundant number, since it is smaller than the sum of its proper divisors (64876654440).

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

25787300760 is a wasteful number, since it uses less digits than its factorization.

25787300760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24955 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 25787300760 in words is "twenty-five billion, seven hundred eighty-seven million, three hundred thousand, seven hundred sixty".