27821318400 has 432 divisors, whose sum is σ = 102604057920. Its totient is φ = 7376486400.

The previous prime is 27821318383. The next prime is 27821318419. The reversal of 27821318400 is 481312872.

27821318400 is a `hidden beast` number, since 27 + 8 + 213 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40262055 + ... + 40262745.

Almost surely, 2^27821318400 is an apocalyptic number.

27821318400 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 27821318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302028960).

27821318400 is an abundant number, since it is smaller than the sum of its proper divisors (74782739520).

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

27821318400 is a wasteful number, since it uses less digits than its factorization.

27821318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 27821318400 in words is "twenty-seven billion, eight hundred twenty-one million, three hundred eighteen thousand, four hundred".