27232078016 has 336 divisors, whose sum is σ = 70374662400. Its totient is φ = 10337310720.

The previous prime is 27232078007. The next prime is 27232078043. The reversal of 27232078016 is 61087023272.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43993355 + ... + 43993973.

It is an arithmetic number, because the mean of its divisors is an integer number (209448400).

Almost surely, 2^27232078016 is an apocalyptic number.

27232078016 is a gapful number since it is divisible by the number (26) 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 27232078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35187331200).

27232078016 is an abundant number, since it is smaller than the sum of its proper divisors (43142584384).

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

27232078016 is a wasteful number, since it uses less digits than its factorization.

27232078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 27232078016 in words is "twenty-seven billion, two hundred thirty-two million, seventy-eight thousand, sixteen".