27981212083200 has 2376 divisors, whose sum is σ = 113208699283680. Its totient is φ = 6580843315200.

The previous prime is 27981212083183. The next prime is 27981212083207. The reversal of 27981212083200 is 238021218972.

27981212083200 is a `hidden beast` number, since 27 + 9 + 81 + 21 + 208 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27981212083207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 99577267060 + ... + 99577267340.

Almost surely, 2^{27981212083200} is an apocalyptic number.

27981212083200 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 27981212083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56604349641840).

27981212083200 is an abundant number, since it is smaller than the sum of its proper divisors (85227487200480).

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

27981212083200 is a wasteful number, since it uses less digits than its factorization.

27981212083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27981212083200 in words is "twenty-seven trillion, nine hundred eighty-one billion, two hundred twelve million, eighty-three thousand, two hundred".