71858010010321 has 32 divisors (see below), whose sum is σ = 82853073158400. Its totient is φ = 61860721950720.

The previous prime is 71858010010307. The next prime is 71858010010351. The reversal of 71858010010321 is 12301001085817.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71858010010321 - 2⁹ = 71858010009809 is a prime.

It is a super-3 number, since 3×71858010010321³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71858010010351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 646201836 + ... + 646313026.

It is an arithmetic number, because the mean of its divisors is an integer number (2589158536200).

Almost surely, 2^{71858010010321} is an apocalyptic number.

It is an amenable number.

71858010010321 is a deficient number, since it is larger than the sum of its proper divisors (10995063148079).

71858010010321 is a wasteful number, since it uses less digits than its factorization.

71858010010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180249.

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 71858010010321 in words is "seventy-one trillion, eight hundred fifty-eight billion, ten million, ten thousand, three hundred twenty-one".