273388281360480 has 4608 divisors, whose sum is σ = 1260104039792640. Its totient is φ = 54484254720000.

The previous prime is 273388281360457. The next prime is 273388281360533. The reversal of 273388281360480 is 84063182883372.

273388281360480 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 8 + 8 + 2 + 8 + 13 + 604 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 260122055955 + ... + 260122057005.

It is an arithmetic number, because the mean of its divisors is an integer number (273460078080).

Almost surely, 2^{273388281360480} is an apocalyptic number.

273388281360480 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 273388281360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630052019896320).

273388281360480 is an abundant number, since it is smaller than the sum of its proper divisors (986715758432160).

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

273388281360480 is a wasteful number, since it uses less digits than its factorization.

273388281360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 273388281360480 in words is "two hundred seventy-three trillion, three hundred eighty-eight billion, two hundred eighty-one million, three hundred sixty thousand, four hundred eighty".