25883742066 has 192 divisors, whose sum is σ = 68505937920. Its totient is φ = 6444385920.

The previous prime is 25883741999. The next prime is 25883742067. The reversal of 25883742066 is 66024738852.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25883742067) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31297945 + ... + 31298771.

It is an arithmetic number, because the mean of its divisors is an integer number (356801760).

Almost surely, 2^25883742066 is an apocalyptic number.

25883742066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25883742066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34252968960).

25883742066 is an abundant number, since it is smaller than the sum of its proper divisors (42622195854).

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

25883742066 is a wasteful number, since it uses less digits than its factorization.

25883742066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 25883742066 in words is "twenty-five billion, eight hundred eighty-three million, seven hundred forty-two thousand, sixty-six".