27774797232400 has 135 divisors (see below), whose sum is σ = 67422016527853. Its totient is φ = 10995703552000.

The previous prime is 27774797232383. The next prime is 27774797232421. The reversal of 27774797232400 is 423279747772.

It is a happy number.

The square root of 27774797232400 is 5270180.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3455538952464 + 24319258279936 = 1858908^2 + 4931456^2 .

It is a super-2 number, since 2×27774797232400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10645762296 + ... + 10645764904.

Almost surely, 2^{27774797232400} is an apocalyptic number.

27774797232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27774797232400 is the 5270180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27774797232400

27774797232400 is an abundant number, since it is smaller than the sum of its proper divisors (39647219295453).

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

27774797232400 is an frugal number, since it uses more digits than its factorization.

27774797232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 61.

The spelling of 27774797232400 in words is "twenty-seven trillion, seven hundred seventy-four billion, seven hundred ninety-seven million, two hundred thirty-two thousand, four hundred".