25807660240 has 80 divisors (see below), whose sum is σ = 60782109696. Its totient is φ = 10189836800.

The previous prime is 25807660231. The next prime is 25807660243. The reversal of 25807660240 is 4206670852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25807660193 and 25807660202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25807660243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1995234 + ... + 2008126.

Almost surely, 2^25807660240 is an apocalyptic number.

25807660240 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 25807660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30391054848).

25807660240 is an abundant number, since it is smaller than the sum of its proper divisors (34974449456).

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

25807660240 is a wasteful number, since it uses less digits than its factorization.

25807660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 25807660240 in words is "twenty-five billion, eight hundred seven million, six hundred sixty thousand, two hundred forty".