273982960512 has 512 divisors, whose sum is σ = 886109414400. Its totient is φ = 82997084160.

The previous prime is 273982960457. The next prime is 273982960519. The reversal of 273982960512 is 215069289372.

273982960512 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 8 + 29 + 605 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273982960519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257744493 + ... + 257745555.

It is an arithmetic number, because the mean of its divisors is an integer number (1730682450).

Almost surely, 2^273982960512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273982960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443054707200).

273982960512 is an abundant number, since it is smaller than the sum of its proper divisors (612126453888).

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

273982960512 is a wasteful number, since it uses less digits than its factorization.

273982960512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 273982960512 in words is "two hundred seventy-three billion, nine hundred eighty-two million, nine hundred sixty thousand, five hundred twelve".