27906342912 has 340 divisors, whose sum is σ = 95411299456. Its totient is φ = 7962624000.

The previous prime is 27906342859. The next prime is 27906342943. The reversal of 27906342912 is 21924360972.

27906342912 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 634 + 2 + 9 + 1 + 2 = 666.

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 19 ways as a sum of consecutive naturals, for example, 37158537 + ... + 37159287.

Almost surely, 2^27906342912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27906342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47705649728).

27906342912 is an abundant number, since it is smaller than the sum of its proper divisors (67504956544).

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

27906342912 is an frugal number, since it uses more digits than its factorization.

27906342912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 27906342912 in words is "twenty-seven billion, nine hundred six million, three hundred forty-two thousand, nine hundred twelve".