27826999200 has 1944 divisors, whose sum is σ = 138419203104. Its totient is φ = 5337446400.

The previous prime is 27826999159. The next prime is 27826999261. The reversal of 27826999200 is 299962872.

It is a happy number.

27826999200 is a `hidden beast` number, since 278 + 269 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 323 ways as a sum of consecutive naturals, for example, 2140538394 + ... + 2140538406.

Almost surely, 2^27826999200 is an apocalyptic number.

27826999200 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 27826999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209601552).

27826999200 is an abundant number, since it is smaller than the sum of its proper divisors (110592203904).

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

27826999200 is a wasteful number, since it uses less digits than its factorization.

27826999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 27826999200 in words is "twenty-seven billion, eight hundred twenty-six million, nine hundred ninety-nine thousand, two hundred".