71215128960 has 128 divisors (see below), whose sum is σ = 227525124960. Its totient is φ = 18946621440.

The previous prime is 71215128953. The next prime is 71215128967. The reversal of 71215128960 is 6982151217.

It is an interprime number because it is at equal distance from previous prime (71215128953) and next prime (71215128967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71215128967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788530 + ... + 874190.

Almost surely, 2^71215128960 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 71215128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762562480).

71215128960 is an abundant number, since it is smaller than the sum of its proper divisors (156309996000).

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

71215128960 is a wasteful number, since it uses less digits than its factorization.

71215128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86116 (or 86104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 71215128960 in words is "seventy-one billion, two hundred fifteen million, one hundred twenty-eight thousand, nine hundred sixty".