71982287163360 has 1536 divisors, whose sum is σ = 312326461440000. Its totient is φ = 15423623921664.

The previous prime is 71982287163317. The next prime is 71982287163373. The reversal of 71982287163360 is 6336178228917.

71982287163360 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 2 + 287 + 16 + 336 + 0 = 666.

71982287163360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6473803881 + ... + 6473814999.

It is an arithmetic number, because the mean of its divisors is an integer number (203337540000).

Almost surely, 2^{71982287163360} is an apocalyptic number.

71982287163360 is a gapful number since it is divisible by the number (70) 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 71982287163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156163230720000).

71982287163360 is an abundant number, since it is smaller than the sum of its proper divisors (240344174276640).

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

71982287163360 is a wasteful number, since it uses less digits than its factorization.

71982287163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 71982287163360 in words is "seventy-one trillion, nine hundred eighty-two billion, two hundred eighty-seven million, one hundred sixty-three thousand, three hundred sixty".