27820195200 has 1152 divisors, whose sum is σ = 124304544000. Its totient is φ = 6001827840.

The previous prime is 27820195189. The next prime is 27820195217. The reversal of 27820195200 is 259102872.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×27820195200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103420666 + ... + 103420934.

It is an arithmetic number, because the mean of its divisors is an integer number (107903250).

Almost surely, 2^27820195200 is an apocalyptic number.

27820195200 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 27820195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272000).

27820195200 is an abundant number, since it is smaller than the sum of its proper divisors (96484348800).

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

27820195200 is a wasteful number, since it uses less digits than its factorization.

27820195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27820195200 in words is "twenty-seven billion, eight hundred twenty million, one hundred ninety-five thousand, two hundred".