25576268208 has 80 divisors (see below), whose sum is σ = 66781082880. Its totient is φ = 8434153728.

The previous prime is 25576268197. The next prime is 25576268209. The reversal of 25576268208 is 80286267552.

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

It is not an unprimeable number, because it can be changed into a prime (25576268209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254741 + ... + 4260747.

It is an arithmetic number, because the mean of its divisors is an integer number (834763536).

Almost surely, 2^25576268208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25576268208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390541440).

25576268208 is an abundant number, since it is smaller than the sum of its proper divisors (41204814672).

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

25576268208 is a wasteful number, since it uses less digits than its factorization.

25576268208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 25576268208 in words is "twenty-five billion, five hundred seventy-six million, two hundred sixty-eight thousand, two hundred eight".