25606100424 has 128 divisors (see below), whose sum is σ = 68141721600. Its totient is φ = 7995801600.

The previous prime is 25606100411. The next prime is 25606100431. The reversal of 25606100424 is 42400160652.

It is a junction number, because it is equal to n+sod(n) for n = 25606100391 and 25606100400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17695269 + ... + 17696715.

It is an arithmetic number, because the mean of its divisors is an integer number (532357200).

Almost surely, 2^25606100424 is an apocalyptic number.

25606100424 is a gapful number since it is divisible by the number (24) 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 25606100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070860800).

25606100424 is an abundant number, since it is smaller than the sum of its proper divisors (42535621176).

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

25606100424 is a wasteful number, since it uses less digits than its factorization.

25606100424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 25606100424 in words is "twenty-five billion, six hundred six million, one hundred thousand, four hundred twenty-four".