71193935912320 has 256 divisors, whose sum is σ = 183683976436800. Its totient is φ = 26230567993344.

The previous prime is 71193935912311. The next prime is 71193935912347. The reversal of 71193935912320 is 2321953939117.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10643431536 + ... + 10643438224.

Almost surely, 2^{71193935912320} 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 71193935912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91841988218400).

71193935912320 is an abundant number, since it is smaller than the sum of its proper divisors (112490040524480).

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

71193935912320 is a wasteful number, since it uses less digits than its factorization.

71193935912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 55.

The spelling of 71193935912320 in words is "seventy-one trillion, one hundred ninety-three billion, nine hundred thirty-five million, nine hundred twelve thousand, three hundred twenty".