25561914336 has 384 divisors, whose sum is σ = 87294412800. Its totient is φ = 7126548480.

The previous prime is 25561914277. The next prime is 25561914349. The reversal of 25561914336 is 63341916552.

25561914336 is a `hidden beast` number, since 2 + 556 + 1 + 91 + 4 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×25561914336² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25561914291 and 25561914300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71202925 + ... + 71203283.

It is an arithmetic number, because the mean of its divisors is an integer number (227329200).

Almost surely, 2^25561914336 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 25561914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43647206400).

25561914336 is an abundant number, since it is smaller than the sum of its proper divisors (61732498464).

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

25561914336 is a wasteful number, since it uses less digits than its factorization.

25561914336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 625 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 25561914336 in words is "twenty-five billion, five hundred sixty-one million, nine hundred fourteen thousand, three hundred thirty-six".