273224972160 has 1152 divisors, whose sum is σ = 1149330124800. Its totient is φ = 59576573952.

The previous prime is 273224972071. The next prime is 273224972177. The reversal of 273224972160 is 61279422372.

273224972160 is a `hidden beast` number, since 27 + 322 + 4 + 97 + 216 + 0 = 666.

273224972160 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 (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570406801 + ... + 570407279.

It is an arithmetic number, because the mean of its divisors is an integer number (997682400).

Almost surely, 2^273224972160 is an apocalyptic number.

273224972160 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 273224972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574665062400).

273224972160 is an abundant number, since it is smaller than the sum of its proper divisors (876105152640).

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

273224972160 is a wasteful number, since it uses less digits than its factorization.

273224972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 273224972160 in words is "two hundred seventy-three billion, two hundred twenty-four million, nine hundred seventy-two thousand, one hundred sixty".