27919833984 has 192 divisors, whose sum is σ = 94986684000. Its totient is φ = 7701958656.

The previous prime is 27919833973. The next prime is 27919833989. The reversal of 27919833984 is 48933891972.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27919833989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174162 + ... + 293550.

Almost surely, 2^27919833984 is an apocalyptic number.

27919833984 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 27919833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47493342000).

27919833984 is an abundant number, since it is smaller than the sum of its proper divisors (67066850016).

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

27919833984 is a wasteful number, since it uses less digits than its factorization.

27919833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119445 (or 119430 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 27919833984 in words is "twenty-seven billion, nine hundred nineteen million, eight hundred thirty-three thousand, nine hundred eighty-four".