25670685144 has 128 divisors (see below), whose sum is σ = 70407993600. Its totient is φ = 7751324160.

The previous prime is 25670685143. The next prime is 25670685149. The reversal of 25670685144 is 44158607652.

It is a junction number, because it is equal to n+sod(n) for n = 25670685093 and 25670685102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25670685143) by changing a digit.

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, 9952447 + ... + 9955025.

It is an arithmetic number, because the mean of its divisors is an integer number (550062450).

Almost surely, 2^25670685144 is an apocalyptic number.

25670685144 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 25670685144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35203996800).

25670685144 is an abundant number, since it is smaller than the sum of its proper divisors (44737308456).

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

25670685144 is a wasteful number, since it uses less digits than its factorization.

25670685144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 25670685144 in words is "twenty-five billion, six hundred seventy million, six hundred eighty-five thousand, one hundred forty-four".