27668935800 has 240 divisors, whose sum is σ = 104835198600. Its totient is φ = 6707577600.

The previous prime is 27668935799. The next prime is 27668935831. The reversal of 27668935800 is 853986672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100566 + ... + 255834.

Almost surely, 2^27668935800 is an apocalyptic number.

27668935800 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 27668935800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52417599300).

27668935800 is an abundant number, since it is smaller than the sum of its proper divisors (77166262800).

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

27668935800 is a wasteful number, since it uses less digits than its factorization.

27668935800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155308 (or 155290 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27668935800 in words is "twenty-seven billion, six hundred sixty-eight million, nine hundred thirty-five thousand, eight hundred".