25066168560 has 240 divisors, whose sum is σ = 87242407200. Its totient is φ = 6442039296.

The previous prime is 25066168537. The next prime is 25066168571. The reversal of 25066168560 is 6586166052.

It is a happy number.

25066168560 is a `hidden beast` number, since 2 + 506 + 6 + 1 + 6 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22320159 + ... + 22321281.

It is an arithmetic number, because the mean of its divisors is an integer number (363510030).

Almost surely, 2^25066168560 is an apocalyptic number.

25066168560 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 25066168560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43621203600).

25066168560 is an abundant number, since it is smaller than the sum of its proper divisors (62176238640).

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

25066168560 is a wasteful number, since it uses less digits than its factorization.

25066168560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25066168560 in words is "twenty-five billion, sixty-six million, one hundred sixty-eight thousand, five hundred sixty".