25842075408 has 400 divisors, whose sum is σ = 83138964480. Its totient is φ = 7712610048.

The previous prime is 25842075397. The next prime is 25842075419. The reversal of 25842075408 is 80457024852.

25842075408 is a `hidden beast` number, since 2 + 5 + 84 + 20 + 7 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25842075397) and next prime (25842075419).

It is a super-2 number, since 2×25842075408² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58334035 + ... + 58334477.

Almost surely, 2^25842075408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25842075408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569482240).

25842075408 is an abundant number, since it is smaller than the sum of its proper divisors (57296889072).

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

25842075408 is a wasteful number, since it uses less digits than its factorization.

25842075408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 25842075408 in words is "twenty-five billion, eight hundred forty-two million, seventy-five thousand, four hundred eight".