27020784400 has 45 divisors (see below), whose sum is σ = 64925333941. Its totient is φ = 10806998720.

The previous prime is 27020784397. The next prime is 27020784403. The reversal of 27020784400 is 448702072.

The square root of 27020784400 is 164380.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27020784397) and next prime (27020784403).

It can be written as a sum of positive squares in only one way, i.e., 9727482384 + 17293302016 = 98628^2 + 131504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27020784403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3283491 + ... + 3291709.

Almost surely, 2^27020784400 is an apocalyptic number.

27020784400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27020784400 is the 164380-th square number.

It is an amenable number.

27020784400 is an abundant number, since it is smaller than the sum of its proper divisors (37904549541).

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

27020784400 is an frugal number, since it uses more digits than its factorization.

27020784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The spelling of 27020784400 in words is "twenty-seven billion, twenty million, seven hundred eighty-four thousand, four hundred".