71169850080 has 432 divisors, whose sum is σ = 287864557344. Its totient is φ = 15959623680.

The previous prime is 71169850049. The next prime is 71169850091. The reversal of 71169850080 is 8005896117.

71169850080 is a `hidden beast` number, since 7 + 1 + 1 + 69 + 8 + 500 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3730165 + ... + 3749195.

It is an arithmetic number, because the mean of its divisors is an integer number (666353142).

Almost surely, 2^71169850080 is an apocalyptic number.

71169850080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71169850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143932278672).

71169850080 is an abundant number, since it is smaller than the sum of its proper divisors (216694707264).

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

71169850080 is a wasteful number, since it uses less digits than its factorization.

71169850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 71169850080 in words is "seventy-one billion, one hundred sixty-nine million, eight hundred fifty thousand, eighty".