273003968160 has 1344 divisors, whose sum is σ = 1220820491520. Its totient is φ = 56017059840.

The previous prime is 273003968141. The next prime is 273003968177. The reversal of 273003968160 is 61869300372.

It is a super-2 number, since 2×273003968160² (a number of 24 digits) contains 22 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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1014884506 + ... + 1014884774.

It is an arithmetic number, because the mean of its divisors is an integer number (908348580).

Almost surely, 2^273003968160 is an apocalyptic number.

273003968160 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 273003968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610410245760).

273003968160 is an abundant number, since it is smaller than the sum of its proper divisors (947816523360).

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

273003968160 is a wasteful number, since it uses less digits than its factorization.

273003968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 273003968160 in words is "two hundred seventy-three billion, three million, nine hundred sixty-eight thousand, one hundred sixty".