27822887398944 has 384 divisors, whose sum is σ = 94892126434560. Its totient is φ = 7935222620160.

The previous prime is 27822887398921. The next prime is 27822887398951. The reversal of 27822887398944 is 44989378822872.

27822887398944 is a `hidden beast` number, since 27 + 82 + 288 + 73 + 98 + 94 + 4 = 666.

It is a super-2 number, since 2×27822887398944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12024012 + ... + 14150004.

It is an arithmetic number, because the mean of its divisors is an integer number (247114912590).

Almost surely, 2^{27822887398944} is an apocalyptic number.

27822887398944 is a gapful number since it is divisible by the number (24) 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 27822887398944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47446063217280).

27822887398944 is an abundant number, since it is smaller than the sum of its proper divisors (67069239035616).

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

27822887398944 is a wasteful number, since it uses less digits than its factorization.

27822887398944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126052 (or 2126026 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 27822887398944 in words is "twenty-seven trillion, eight hundred twenty-two billion, eight hundred eighty-seven million, three hundred ninety-eight thousand, nine hundred forty-four".