71818138080 has 480 divisors, whose sum is σ = 282386412000. Its totient is φ = 17067552768.

The previous prime is 71818138037. The next prime is 71818138081. The reversal of 71818138080 is 8083181817.

71818138080 is a `hidden beast` number, since 7 + 18 + 181 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71818138081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4878571 + ... + 4893269.

It is an arithmetic number, because the mean of its divisors is an integer number (588305025).

Almost surely, 2^71818138080 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 71818138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141193206000).

71818138080 is an abundant number, since it is smaller than the sum of its proper divisors (210568273920).

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

71818138080 is a wasteful number, since it uses less digits than its factorization.

71818138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 71818138080 in words is "seventy-one billion, eight hundred eighteen million, one hundred thirty-eight thousand, eighty".