25810220160 has 512 divisors, whose sum is σ = 97136640000. Its totient is φ = 6458683392.

The previous prime is 25810220159. The next prime is 25810220231. The reversal of 25810220160 is 6102201852.

It is a happy number.

25810220160 is a `hidden beast` number, since 2 + 581 + 0 + 2 + 20 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41696331 + ... + 41696949.

It is an arithmetic number, because the mean of its divisors is an integer number (189720000).

Almost surely, 2^25810220160 is an apocalyptic number.

25810220160 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 25810220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320000).

25810220160 is an abundant number, since it is smaller than the sum of its proper divisors (71326419840).

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

25810220160 is a wasteful number, since it uses less digits than its factorization.

25810220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 25810220160 in words is "twenty-five billion, eight hundred ten million, two hundred twenty thousand, one hundred sixty".