273213132192 has 1200 divisors, whose sum is σ = 1104839078112. Its totient is φ = 65292272640.

The previous prime is 273213132191. The next prime is 273213132197. The reversal of 273213132192 is 291231312372.

It is a happy number.

273213132192 is a `hidden beast` number, since 2 + 7 + 321 + 3 + 1 + 321 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (273213132191) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 889944903 + ... + 889945209.

Almost surely, 2^273213132192 is an apocalyptic number.

273213132192 is a gapful number since it is divisible by the number (22) 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 273213132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552419539056).

273213132192 is an abundant number, since it is smaller than the sum of its proper divisors (831625945920).

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

273213132192 is a wasteful number, since it uses less digits than its factorization.

273213132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 343 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

It can be divided in two parts, 27321 and 3132192, that added together give a palindrome (3159513).

The spelling of 273213132192 in words is "two hundred seventy-three billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred ninety-two".