273153640320 has 768 divisors, whose sum is σ = 1063886503680. Its totient is φ = 64006225920.

The previous prime is 273153640289. The next prime is 273153640369. The reversal of 273153640320 is 23046351372.

273153640320 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 5 + 3 + 640 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×273153640320² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291518892 + ... + 291519828.

It is an arithmetic number, because the mean of its divisors is an integer number (1385268885).

Almost surely, 2^273153640320 is an apocalyptic number.

273153640320 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 273153640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531943251840).

273153640320 is an abundant number, since it is smaller than the sum of its proper divisors (790732863360).

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

273153640320 is a wasteful number, since it uses less digits than its factorization.

273153640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 273153640320 its reverse (23046351372), we get a palindrome (296199991692).

The spelling of 273153640320 in words is "two hundred seventy-three billion, one hundred fifty-three million, six hundred forty thousand, three hundred twenty".