25142626656 has 144 divisors (see below), whose sum is σ = 81800409600. Its totient is φ = 7175971584.

The previous prime is 25142626643. The next prime is 25142626657. The reversal of 25142626656 is 65662624152.

25142626656 is a `hidden beast` number, since 2 + 5 + 14 + 2 + 626 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142626657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048185 + ... + 2060423.

It is an arithmetic number, because the mean of its divisors is an integer number (568058400).

Almost surely, 2^25142626656 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 25142626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40900204800).

25142626656 is an abundant number, since it is smaller than the sum of its proper divisors (56657782944).

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

25142626656 is a wasteful number, since it uses less digits than its factorization.

25142626656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13270 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 25142626656 in words is "twenty-five billion, one hundred forty-two million, six hundred twenty-six thousand, six hundred fifty-six".