71806219080960 has 288 divisors, whose sum is σ = 282253677914880. Its totient is φ = 15150323073024.

The previous prime is 71806219080811. The next prime is 71806219080979. The reversal of 71806219080960 is 6908091260817.

It is a super-2 number, since 2×71806219080960² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71806219080960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102395265 + ... + 103094144.

It is an arithmetic number, because the mean of its divisors is an integer number (980047492760).

Almost surely, 2^{71806219080960} is an apocalyptic number.

71806219080960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71806219080960 is an abundant number, since it is smaller than the sum of its proper divisors (210447458833920).

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

71806219080960 is a wasteful number, since it uses less digits than its factorization.

71806219080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205489453 (or 205489439 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 71806219080960 in words is "seventy-one trillion, eight hundred six billion, two hundred nineteen million, eighty thousand, nine hundred sixty".