71598021120 has 640 divisors, whose sum is σ = 274707417600. Its totient is φ = 17621581824.

The previous prime is 71598021109. The next prime is 71598021167. The reversal of 71598021120 is 2112089517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 46102264 + ... + 46103816.

It is an arithmetic number, because the mean of its divisors is an integer number (429230340).

Almost surely, 2^71598021120 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 71598021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137353708800).

71598021120 is an abundant number, since it is smaller than the sum of its proper divisors (203109396480).

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

71598021120 is a wasteful number, since it uses less digits than its factorization.

71598021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 71598021120 in words is "seventy-one billion, five hundred ninety-eight million, twenty-one thousand, one hundred twenty".