25661408094 has 192 divisors, whose sum is σ = 70040505600. Its totient is φ = 6924730176.

The previous prime is 25661408077. The next prime is 25661408099. The reversal of 25661408094 is 49080416652.

25661408094 is a `hidden beast` number, since 2 + 566 + 1 + 4 + 0 + 80 + 9 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25661408099) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23477412 + ... + 23478504.

It is an arithmetic number, because the mean of its divisors is an integer number (364794300).

Almost surely, 2^25661408094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25661408094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020252800).

25661408094 is an abundant number, since it is smaller than the sum of its proper divisors (44379097506).

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

25661408094 is a wasteful number, since it uses less digits than its factorization.

25661408094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25661408094 in words is "twenty-five billion, six hundred sixty-one million, four hundred eight thousand, ninety-four".