27776085120 has 768 divisors, whose sum is σ = 118576224000. Its totient is φ = 5968134144.

The previous prime is 27776085097. The next prime is 27776085143. The reversal of 27776085120 is 2158067772.

27776085120 is a `hidden beast` number, since 2 + 7 + 77 + 60 + 8 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27776085097) and next prime (27776085143).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33586147 + ... + 33586973.

It is an arithmetic number, because the mean of its divisors is an integer number (154396125).

Almost surely, 2^27776085120 is an apocalyptic number.

27776085120 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 27776085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59288112000).

27776085120 is an abundant number, since it is smaller than the sum of its proper divisors (90800138880).

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

27776085120 is a wasteful number, since it uses less digits than its factorization.

27776085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 27776085120 in words is "twenty-seven billion, seven hundred seventy-six million, eighty-five thousand, one hundred twenty".