25282153802880 has 1536 divisors, whose sum is σ = 99253729935360. Its totient is φ = 5887365120000.

The previous prime is 25282153802879. The next prime is 25282153802963. The reversal of 25282153802880 is 8820835128252.

25282153802880 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 2 + 1 + 538 + 0 + 28 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21590224695 + ... + 21590225865.

It is an arithmetic number, because the mean of its divisors is an integer number (64618313760).

Almost surely, 2^{25282153802880} is an apocalyptic number.

25282153802880 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 25282153802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49626864967680).

25282153802880 is an abundant number, since it is smaller than the sum of its proper divisors (73971576132480).

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

25282153802880 is a wasteful number, since it uses less digits than its factorization.

25282153802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 25282153802880 in words is "twenty-five trillion, two hundred eighty-two billion, one hundred fifty-three million, eight hundred two thousand, eight hundred eighty".