272162815205085 has 256 divisors, whose sum is σ = 587648011345920. Its totient is φ = 116667860889600.

The previous prime is 272162815205069. The next prime is 272162815205089. The reversal of 272162815205085 is 580502518261272.

272162815205085 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 6 + 2 + 81 + 52 + 0 + 508 + 5 = 666.

It is not a de Polignac number, because 272162815205085 - 2⁴ = 272162815205069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272162815205089) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30365142814 + ... + 30365151776.

It is an arithmetic number, because the mean of its divisors is an integer number (2295500044320).

Almost surely, 2^{272162815205085} is an apocalyptic number.

It is an amenable number.

272162815205085 is an abundant number, since it is smaller than the sum of its proper divisors (315485196140835).

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

272162815205085 is a wasteful number, since it uses less digits than its factorization.

272162815205085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 272162815205085 in words is "two hundred seventy-two trillion, one hundred sixty-two billion, eight hundred fifteen million, two hundred five thousand, eighty-five".