71282554675200 has 2016 divisors, whose sum is σ = 293892209694720. Its totient is φ = 16980030259200.

The previous prime is 71282554675193. The next prime is 71282554675217. The reversal of 71282554675200 is 257645528217.

It is a happy number.

71282554675200 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 2 + 5 + 54 + 67 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32298392497 + ... + 32298394703.

It is an arithmetic number, because the mean of its divisors is an integer number (145779865920).

Almost surely, 2^{71282554675200} 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 71282554675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146946104847360).

71282554675200 is an abundant number, since it is smaller than the sum of its proper divisors (222609655019520).

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

71282554675200 is a wasteful number, since it uses less digits than its factorization.

71282554675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 71282554675200 in words is "seventy-one trillion, two hundred eighty-two billion, five hundred fifty-four million, six hundred seventy-five thousand, two hundred".