25859013642 has 320 divisors, whose sum is σ = 76526208000. Its totient is φ = 6348948480.

The previous prime is 25859013617. The next prime is 25859013659. The reversal of 25859013642 is 24631095852.

25859013642 is a `hidden beast` number, since 2 + 5 + 8 + 590 + 13 + 6 + 42 = 666.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 57592234 + ... + 57592682.

It is an arithmetic number, because the mean of its divisors is an integer number (239144400).

Almost surely, 2^25859013642 is an apocalyptic number.

25859013642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25859013642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263104000).

25859013642 is an abundant number, since it is smaller than the sum of its proper divisors (50667194358).

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

25859013642 is an equidigital number, since it uses as much as digits as its factorization.

25859013642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25859013642 in words is "twenty-five billion, eight hundred fifty-nine million, thirteen thousand, six hundred forty-two".