272081998944 has 1008 divisors, whose sum is σ = 994742622720. Its totient is φ = 72856143360.

The previous prime is 272081998931. The next prime is 272081998949. The reversal of 272081998944 is 449899180272.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×272081998944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272081998949) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2076961759 + ... + 2076961889.

It is an arithmetic number, because the mean of its divisors is an integer number (986847840).

Almost surely, 2^272081998944 is an apocalyptic number.

272081998944 is a gapful number since it is divisible by the number (24) 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 272081998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497371311360).

272081998944 is an abundant number, since it is smaller than the sum of its proper divisors (722660623776).

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

272081998944 is a wasteful number, since it uses less digits than its factorization.

272081998944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 272081998944 in words is "two hundred seventy-two billion, eighty-one million, nine hundred ninety-eight thousand, nine hundred forty-four".