25642494080 has 128 divisors (see below), whose sum is σ = 70753858560. Its totient is φ = 8704512000.

The previous prime is 25642494071. The next prime is 25642494091. The reversal of 25642494080 is 8049424652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424145 + ... + 480815.

It is an arithmetic number, because the mean of its divisors is an integer number (552764520).

Almost surely, 2^25642494080 is an apocalyptic number.

25642494080 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 25642494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35376929280).

25642494080 is an abundant number, since it is smaller than the sum of its proper divisors (45111364480).

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

25642494080 is a wasteful number, since it uses less digits than its factorization.

25642494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56798 (or 56786 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 25642494080 in words is "twenty-five billion, six hundred forty-two million, four hundred ninety-four thousand, eighty".