71189805216 has 96 divisors (see below), whose sum is σ = 190569915648. Its totient is φ = 23261322240.

The previous prime is 71189805179. The next prime is 71189805277. The reversal of 71189805216 is 61250898117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6288201 + ... + 6299511.

It is an arithmetic number, because the mean of its divisors is an integer number (1985103288).

Almost surely, 2^71189805216 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 71189805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284957824).

71189805216 is an abundant number, since it is smaller than the sum of its proper divisors (119380110432).

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

71189805216 is a wasteful number, since it uses less digits than its factorization.

71189805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 71189805216 in words is "seventy-one billion, one hundred eighty-nine million, eight hundred five thousand, two hundred sixteen".