27973846800 has 240 divisors, whose sum is σ = 105423698880. Its totient is φ = 7020840960.

The previous prime is 27973846799. The next prime is 27973846829. The reversal of 27973846800 is 864837972.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×27973846800² (a number of 22 digits) contains 22 as substring.

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

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, 107419 + ... + 259781.

It is an arithmetic number, because the mean of its divisors is an integer number (439265412).

Almost surely, 2^27973846800 is an apocalyptic number.

27973846800 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 27973846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52711849440).

27973846800 is an abundant number, since it is smaller than the sum of its proper divisors (77449852080).

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

27973846800 is a wasteful number, since it uses less digits than its factorization.

27973846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152407 (or 152390 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27973846800 in words is "twenty-seven billion, nine hundred seventy-three million, eight hundred forty-six thousand, eight hundred".