27866342400 has 792 divisors, whose sum is σ = 105907194720. Its totient is φ = 6440878080.

The previous prime is 27866342389. The next prime is 27866342423. The reversal of 27866342400 is 424366872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246604744 + ... + 246604856.

Almost surely, 2^27866342400 is an apocalyptic number.

27866342400 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 27866342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52953597360).

27866342400 is an abundant number, since it is smaller than the sum of its proper divisors (78040852320).

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

27866342400 is a wasteful number, since it uses less digits than its factorization.

27866342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 27866342400 in words is "twenty-seven billion, eight hundred sixty-six million, three hundred forty-two thousand, four hundred".