25566012000 has 288 divisors, whose sum is σ = 90959791104. Its totient is φ = 6800640000.

The previous prime is 25566011981. The next prime is 25566012013. The reversal of 25566012000 is 21066552.

25566012000 is a `hidden beast` number, since 2 + 5 + 56 + 601 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22211425 + ... + 22212575.

It is an arithmetic number, because the mean of its divisors is an integer number (315832608).

Almost surely, 2^25566012000 is an apocalyptic number.

25566012000 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 25566012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45479895552).

25566012000 is an abundant number, since it is smaller than the sum of its proper divisors (65393779104).

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

25566012000 is a wasteful number, since it uses less digits than its factorization.

25566012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 25566012000 its reverse (21066552), we get a palindrome (25587078552).

The spelling of 25566012000 in words is "twenty-five billion, five hundred sixty-six million, twelve thousand".