27942333179904 has 1152 divisors, whose sum is σ = 98495618457600. Its totient is φ = 7518114938880.

The previous prime is 27942333179861. The next prime is 27942333179909. The reversal of 27942333179904 is 40997133324972.

It is a happy number.

27942333179904 is a `hidden beast` number, since 2 + 7 + 9 + 42 + 333 + 179 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (27942333179909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7309004937 + ... + 7309008759.

It is an arithmetic number, because the mean of its divisors is an integer number (85499668800).

Almost surely, 2^{27942333179904} is an apocalyptic number.

27942333179904 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 27942333179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49247809228800).

27942333179904 is an abundant number, since it is smaller than the sum of its proper divisors (70553285277696).

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

27942333179904 is a wasteful number, since it uses less digits than its factorization.

27942333179904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 27942333179904 in words is "twenty-seven trillion, nine hundred forty-two billion, three hundred thirty-three million, one hundred seventy-nine thousand, nine hundred four".