25459386480 has 320 divisors, whose sum is σ = 95908147200. Its totient is φ = 6156334080.

The previous prime is 25459386413. The next prime is 25459386493. The reversal of 25459386480 is 8468395452.

25459386480 is a `hidden beast` number, since 2 + 5 + 4 + 593 + 8 + 6 + 48 + 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 63 ways as a sum of consecutive naturals, for example, 11379922 + ... + 11382158.

It is an arithmetic number, because the mean of its divisors is an integer number (299712960).

Almost surely, 2^25459386480 is an apocalyptic number.

25459386480 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 25459386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47954073600).

25459386480 is an abundant number, since it is smaller than the sum of its proper divisors (70448760720).

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

25459386480 is a wasteful number, since it uses less digits than its factorization.

25459386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25459386480 in words is "twenty-five billion, four hundred fifty-nine million, three hundred eighty-six thousand, four hundred eighty".