71851764933168 has 160 divisors (see below), whose sum is σ = 202712819453952. Its totient is φ = 21749459558400.

The previous prime is 71851764933167. The next prime is 71851764933187. The reversal of 71851764933168 is 86133946715817.

It is a super-2 number, since 2×71851764933168² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71851764933167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013934146 + ... + 2013969822.

Almost surely, 2^{71851764933168} 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 71851764933168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101356409726976).

71851764933168 is an abundant number, since it is smaller than the sum of its proper divisors (130861054520784).

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

71851764933168 is a wasteful number, since it uses less digits than its factorization.

71851764933168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39763 (or 39757 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 71851764933168 in words is "seventy-one trillion, eight hundred fifty-one billion, seven hundred sixty-four million, nine hundred thirty-three thousand, one hundred sixty-eight".