272371196160 has 2016 divisors, whose sum is σ = 1222495142400. Its totient is φ = 57940033536.

The previous prime is 272371196159. The next prime is 272371196161. The reversal of 272371196160 is 61691173272.

272371196160 is a `hidden beast` number, since 2 + 7 + 23 + 7 + 1 + 1 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (272371196159) and next prime (272371196161).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272371196161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7361383662 + ... + 7361383698.

It is an arithmetic number, because the mean of its divisors is an integer number (606396400).

Almost surely, 2^272371196160 is an apocalyptic number.

272371196160 is a gapful number since it is divisible by the number (20) 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 272371196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611247571200).

272371196160 is an abundant number, since it is smaller than the sum of its proper divisors (950123946240).

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

272371196160 is an frugal number, since it uses more digits than its factorization.

272371196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 272371196160 in words is "two hundred seventy-two billion, three hundred seventy-one million, one hundred ninety-six thousand, one hundred sixty".