272283790934016 has 816 divisors, whose sum is σ = 863540542824960. Its totient is φ = 85587378831360.

The previous prime is 272283790933981. The next prime is 272283790934041. The reversal of 272283790934016 is 610439097382272.

272283790934016 is a `hidden beast` number, since 2 + 7 + 2 + 28 + 37 + 90 + 93 + 401 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19858777401 + ... + 19858791111.

Almost surely, 2^{272283790934016} 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 272283790934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431770271412480).

272283790934016 is an abundant number, since it is smaller than the sum of its proper divisors (591256751890944).

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

272283790934016 is an frugal number, since it uses more digits than its factorization.

272283790934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 272283790934016 in words is "two hundred seventy-two trillion, two hundred eighty-three billion, seven hundred ninety million, nine hundred thirty-four thousand, sixteen".