273985553806272 has 1568 divisors, whose sum is σ = 1031267740538880. Its totient is φ = 70121235824640.

The previous prime is 273985553806259. The next prime is 273985553806361. The reversal of 273985553806272 is 272608355589372.

273985553806272 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 8 + 5 + 553 + 8 + 0 + 62 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 273985553806272.

It is a congruent number.

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, 270469450438 + ... + 270469451450.

Almost surely, 2^{273985553806272} is an apocalyptic number.

273985553806272 is a gapful number since it is divisible by the number (22) 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 273985553806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515633870269440).

273985553806272 is an abundant number, since it is smaller than the sum of its proper divisors (757282186732608).

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

273985553806272 is a wasteful number, since it uses less digits than its factorization.

273985553806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 273985553806272 in words is "two hundred seventy-three trillion, nine hundred eighty-five billion, five hundred fifty-three million, eight hundred six thousand, two hundred seventy-two".