25823266560 has 2160 divisors, whose sum is σ = 127892229696. Its totient is φ = 4904976384.

The previous prime is 25823266559. The next prime is 25823266603. The reversal of 25823266560 is 6566232852.

25823266560 is a `hidden beast` number, since 2 + 5 + 8 + 23 + 2 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1122750709 + ... + 1122750731.

Almost surely, 2^25823266560 is an apocalyptic number.

25823266560 is a gapful number since it is divisible by the number (20) 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 25823266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63946114848).

25823266560 is an abundant number, since it is smaller than the sum of its proper divisors (102068963136).

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

25823266560 is a wasteful number, since it uses less digits than its factorization.

25823266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

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

The spelling of 25823266560 in words is "twenty-five billion, eight hundred twenty-three million, two hundred sixty-six thousand, five hundred sixty".