25877472900480 has 1280 divisors, whose sum is σ = 100438682572800. Its totient is φ = 6327753965568.

The previous prime is 25877472900467. The next prime is 25877472900533. The reversal of 25877472900480 is 8400927477852.

25877472900480 is a `hidden beast` number, since 2 + 5 + 8 + 77 + 472 + 90 + 0 + 4 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4785917937 + ... + 4785923343.

It is an arithmetic number, because the mean of its divisors is an integer number (78467720760).

Almost surely, 2^{25877472900480} is an apocalyptic number.

25877472900480 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 25877472900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50219341286400).

25877472900480 is an abundant number, since it is smaller than the sum of its proper divisors (74561209672320).

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

25877472900480 is a wasteful number, since it uses less digits than its factorization.

25877472900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 25877472900480 in words is "twenty-five trillion, eight hundred seventy-seven billion, four hundred seventy-two million, nine hundred thousand, four hundred eighty".