25800782500 has 30 divisors (see below), whose sum is σ = 56421156638. Its totient is φ = 10320312000.

The previous prime is 25800782431. The next prime is 25800782503. The reversal of 25800782500 is 528700852.

It can be written as a sum of positive squares in 5 ways, for example, as 4891044096 + 20909738404 = 69936^2 + 144602^2 .

It is a super-2 number, since 2×25800782500² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25800782500.

It is not an unprimeable number, because it can be changed into a prime (25800782503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5157657 + ... + 5162656.

Almost surely, 2^25800782500 is an apocalyptic number.

25800782500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25800782500 is an abundant number, since it is smaller than the sum of its proper divisors (30620374138).

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

25800782500 is a wasteful number, since it uses less digits than its factorization.

25800782500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320337 (or 10320320 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 25800782500 in words is "twenty-five billion, eight hundred million, seven hundred eighty-two thousand, five hundred".