25606366421100 has 288 divisors, whose sum is σ = 78799262524416. Its totient is φ = 6397770240000.

The previous prime is 25606366421011. The next prime is 25606366421113. The reversal of 25606366421100 is 112466360652.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3273211789 + ... + 3273219611.

It is an arithmetic number, because the mean of its divisors is an integer number (273608550432).

Almost surely, 2^{25606366421100} is an apocalyptic number.

25606366421100 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 25606366421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39399631262208).

25606366421100 is an abundant number, since it is smaller than the sum of its proper divisors (53192896103316).

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

25606366421100 is a wasteful number, since it uses less digits than its factorization.

25606366421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 25606366421100 in words is "twenty-five trillion, six hundred six billion, three hundred sixty-six million, four hundred twenty-one thousand, one hundred".