27797660800 has 432 divisors, whose sum is σ = 86579907750. Its totient is φ = 8789114880.

The previous prime is 27797660771. The next prime is 27797660893. The reversal of 27797660800 is 806679772.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 265559616 + 27532101184 = 16296^2 + 165928^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26498676 + ... + 26499724.

Almost surely, 2^27797660800 is an apocalyptic number.

27797660800 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 27797660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43289953875).

27797660800 is an abundant number, since it is smaller than the sum of its proper divisors (58782246950).

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

27797660800 is a wasteful number, since it uses less digits than its factorization.

27797660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 27797660800 in words is "twenty-seven billion, seven hundred ninety-seven million, six hundred sixty thousand, eight hundred".