71161740945000 has 640 divisors, whose sum is σ = 248248714982400. Its totient is φ = 18881542368000.

The previous prime is 71161740944993. The next prime is 71161740945049. The reversal of 71161740945000 is 54904716117.

71161740945000 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 17 + 40 + 94 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 46724714239 + ... + 46724715761.

It is an arithmetic number, because the mean of its divisors is an integer number (387888617160).

Almost surely, 2^{71161740945000} 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 71161740945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124124357491200).

71161740945000 is an abundant number, since it is smaller than the sum of its proper divisors (177086974037400).

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

71161740945000 is a wasteful number, since it uses less digits than its factorization.

71161740945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 71161740945000 in words is "seventy-one trillion, one hundred sixty-one billion, seven hundred forty million, nine hundred forty-five thousand".