273883800960 has 1024 divisors, whose sum is σ = 1237740134400. Its totient is φ = 55575797760.

The previous prime is 273883800959. The next prime is 273883800961. The reversal of 273883800960 is 69008388372.

It is an interprime number because it is at equal distance from previous prime (273883800959) and next prime (273883800961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 273883800897 and 273883800906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273883800961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57211687 + ... + 57216473.

It is an arithmetic number, because the mean of its divisors is an integer number (1208730600).

Almost surely, 2^273883800960 is an apocalyptic number.

273883800960 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 273883800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618870067200).

273883800960 is an abundant number, since it is smaller than the sum of its proper divisors (963856333440).

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

273883800960 is a wasteful number, since it uses less digits than its factorization.

273883800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 273883800960 in words is "two hundred seventy-three billion, eight hundred eighty-three million, eight hundred thousand, nine hundred sixty".