273277121772006 has 144 divisors (see below), whose sum is σ = 689142022837632. Its totient is φ = 77935781214720.

The previous prime is 273277121771971. The next prime is 273277121772103. The reversal of 273277121772006 is 600277121772372.

273277121772006 is a `hidden beast` number, since 27 + 327 + 7 + 1 + 21 + 77 + 200 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 718966000 + ... + 719345996.

It is an arithmetic number, because the mean of its divisors is an integer number (4785708491928).

Almost surely, 2^{273277121772006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273277121772006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344571011418816).

273277121772006 is an abundant number, since it is smaller than the sum of its proper divisors (415864901065626).

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

273277121772006 is a wasteful number, since it uses less digits than its factorization.

273277121772006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399467 (or 399453 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 273277121772006 in words is "two hundred seventy-three trillion, two hundred seventy-seven billion, one hundred twenty-one million, seven hundred seventy-two thousand, six".