25412860080 has 640 divisors, whose sum is σ = 97708032000. Its totient is φ = 6046064640.

The previous prime is 25412860013. The next prime is 25412860087. The reversal of 25412860080 is 8006821452.

25412860080 is a `hidden beast` number, since 2 + 5 + 41 + 2 + 8 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25412860087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44662036 + ... + 44662604.

It is an arithmetic number, because the mean of its divisors is an integer number (152668800).

Almost surely, 2^25412860080 is an apocalyptic number.

25412860080 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 25412860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016000).

25412860080 is an abundant number, since it is smaller than the sum of its proper divisors (72295171920).

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

25412860080 is a wasteful number, since it uses less digits than its factorization.

25412860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 25412860080 in words is "twenty-five billion, four hundred twelve million, eight hundred sixty thousand, eighty".