26785484800 has 78 divisors (see below), whose sum is σ = 66420147338. Its totient is φ = 10714152960.

The previous prime is 26785484749. The next prime is 26785484827. The reversal of 26785484800 is 848458762.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1430654976 + 25354829824 = 37824^2 + 159232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28389 + ... + 233188.

Almost surely, 2^26785484800 is an apocalyptic number.

26785484800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26785484800 is an abundant number, since it is smaller than the sum of its proper divisors (39634662538).

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

26785484800 is an equidigital number, since it uses as much as digits as its factorization.

26785484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261611 (or 261584 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 26785484800 in words is "twenty-six billion, seven hundred eighty-five million, four hundred eighty-four thousand, eight hundred".