272091156480 has 2080 divisors, whose sum is σ = 1214832503808. Its totient is φ = 57330892800.

The previous prime is 272091156473. The next prime is 272091156523. The reversal of 272091156480 is 84651190272.

272091156480 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 9 + 1 + 1 + 564 + 80 = 666.

272091156480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-3 number, since 3×272091156480³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 7353815022 + ... + 7353815058.

Almost surely, 2^272091156480 is an apocalyptic number.

272091156480 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 272091156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607416251904).

272091156480 is an abundant number, since it is smaller than the sum of its proper divisors (942741347328).

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

272091156480 is a wasteful number, since it uses less digits than its factorization.

272091156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 272091156480 in words is "two hundred seventy-two billion, ninety-one million, one hundred fifty-six thousand, four hundred eighty".