25863413760 has 336 divisors, whose sum is σ = 94951149696. Its totient is φ = 6489636864.

The previous prime is 25863413759. The next prime is 25863413761. The reversal of 25863413760 is 6731436852.

25863413760 is a `hidden beast` number, since 2 + 5 + 8 + 634 + 1 + 3 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25863413759) and next prime (25863413761).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25863413761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6264817 + ... + 6268943.

Almost surely, 2^25863413760 is an apocalyptic number.

25863413760 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 25863413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47475574848).

25863413760 is an abundant number, since it is smaller than the sum of its proper divisors (69087735936).

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

25863413760 is a wasteful number, since it uses less digits than its factorization.

25863413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25863413760 in words is "twenty-five billion, eight hundred sixty-three million, four hundred thirteen thousand, seven hundred sixty".