71119781800 has 96 divisors (see below), whose sum is σ = 167063559480. Its totient is φ = 28154470400.

The previous prime is 71119781753. The next prime is 71119781813. The reversal of 71119781800 is 818791117.

It can be written as a sum of positive squares in 12 ways, for example, as 8071584964 + 63048196836 = 89842^2 + 251094^2 .

It is a super-2 number, since 2×71119781800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18552684 + ... + 18556516.

Almost surely, 2^71119781800 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 71119781800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83531779740).

71119781800 is an abundant number, since it is smaller than the sum of its proper divisors (95943777680).

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

71119781800 is a wasteful number, since it uses less digits than its factorization.

71119781800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 43.

The spelling of 71119781800 in words is "seventy-one billion, one hundred nineteen million, seven hundred eighty-one thousand, eight hundred".