273968372960100 has 3645 divisors, whose sum is σ = 1170181485894267. Its totient is φ = 55258752407040.

The previous prime is 273968372960083. The next prime is 273968372960129. The reversal of 273968372960100 is 1069273869372.

The square root of 273968372960100 is 16551990.

It is a perfect power (a square), and thus also a powerful number.

273968372960100 is a `hidden beast` number, since 2 + 7 + 396 + 83 + 7 + 2 + 9 + 60 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70615753409124 + 203352619550976 = 8403318^2 + 14260176^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 5829114318277 + ... + 5829114318323.

Almost surely, 2^{273968372960100} is an apocalyptic number.

273968372960100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

273968372960100 is the 16551990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273968372960100

273968372960100 is an abundant number, since it is smaller than the sum of its proper divisors (896213112934167).

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

273968372960100 is a wasteful number, since it uses less digits than its factorization.

273968372960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 273968372960100 in words is "two hundred seventy-three trillion, nine hundred sixty-eight billion, three hundred seventy-two million, nine hundred sixty thousand, one hundred".