71206165005000 has 640 divisors, whose sum is σ = 235282672944000. Its totient is φ = 17902632960000.

The previous prime is 71206165004983. The next prime is 71206165005037. The reversal of 71206165005000 is 50056160217.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93569204620 + ... + 93569205380.

It is an arithmetic number, because the mean of its divisors is an integer number (367629176475).

Almost surely, 2^{71206165005000} 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 71206165005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641336472000).

71206165005000 is an abundant number, since it is smaller than the sum of its proper divisors (164076507939000).

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

71206165005000 is a wasteful number, since it uses less digits than its factorization.

71206165005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 71206165005000 in words is "seventy-one trillion, two hundred six billion, one hundred sixty-five million, five thousand".