27041236992 has 960 divisors, whose sum is σ = 105599894400. Its totient is φ = 6688604160.

The previous prime is 27041236973. The next prime is 27041237053. The reversal of 27041236992 is 29963214072.

27041236992 is a `hidden beast` number, since 270 + 4 + 12 + 369 + 9 + 2 = 666.

It is a super-3 number, since 3×27041236992³ (a number of 32 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 370427868 + ... + 370427940.

It is an arithmetic number, because the mean of its divisors is an integer number (109999890).

Almost surely, 2^27041236992 is an apocalyptic number.

27041236992 is a gapful number since it is divisible by the number (22) 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 27041236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52799947200).

27041236992 is an abundant number, since it is smaller than the sum of its proper divisors (78558657408).

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

27041236992 is a wasteful number, since it uses less digits than its factorization.

27041236992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

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

The spelling of 27041236992 in words is "twenty-seven billion, forty-one million, two hundred thirty-six thousand, nine hundred ninety-two".