25661214414 has 96 divisors (see below), whose sum is σ = 61639014528. Its totient is φ = 7650600000.

The previous prime is 25661214413. The next prime is 25661214443. The reversal of 25661214414 is 41441216652.

25661214414 is a `hidden beast` number, since 25 + 6 + 6 + 1 + 214 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25661214413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4121824 + ... + 4128044.

It is an arithmetic number, because the mean of its divisors is an integer number (642073068).

Almost surely, 2^25661214414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25661214414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30819507264).

25661214414 is an abundant number, since it is smaller than the sum of its proper divisors (35977800114).

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

25661214414 is a wasteful number, since it uses less digits than its factorization.

25661214414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6571 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 25661214414 in words is "twenty-five billion, six hundred sixty-one million, two hundred fourteen thousand, four hundred fourteen".