27798131200 has 720 divisors, whose sum is σ = 87460902144. Its totient is φ = 8704819200.

The previous prime is 27798131183. The next prime is 27798131201. The reversal of 27798131200 is 213189772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27798131201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 591449577 + ... + 591449623.

Almost surely, 2^27798131200 is an apocalyptic number.

27798131200 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 27798131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730451072).

27798131200 is an abundant number, since it is smaller than the sum of its proper divisors (59662770944).

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

27798131200 is a wasteful number, since it uses less digits than its factorization.

27798131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 27798131200 in words is "twenty-seven billion, seven hundred ninety-eight million, one hundred thirty-one thousand, two hundred".