27979776000 has 1024 divisors, whose sum is σ = 117774259200. Its totient is φ = 6488064000.

The previous prime is 27979775959. The next prime is 27979776017. The reversal of 27979776000 is 67797972.

27979776000 is a `hidden beast` number, since 27 + 9 + 7 + 9 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216511989 + ... + 1216512011.

It is an arithmetic number, because the mean of its divisors is an integer number (115013925).

Almost surely, 2^27979776000 is an apocalyptic number.

27979776000 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 27979776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58887129600).

27979776000 is an abundant number, since it is smaller than the sum of its proper divisors (89794483200).

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

27979776000 is an equidigital number, since it uses as much as digits as its factorization.

27979776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 27979776000 in words is "twenty-seven billion, nine hundred seventy-nine million, seven hundred seventy-six thousand".