71097384960 has 912 divisors, whose sum is σ = 301234338720. Its totient is φ = 15854469120.

The previous prime is 71097384947. The next prime is 71097384971. The reversal of 71097384960 is 6948379017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71097384897 and 71097384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1734082540 + ... + 1734082580.

It is an arithmetic number, because the mean of its divisors is an integer number (330300810).

Almost surely, 2^71097384960 is an apocalyptic number.

71097384960 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 71097384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150617169360).

71097384960 is an abundant number, since it is smaller than the sum of its proper divisors (230136953760).

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

71097384960 is an frugal number, since it uses more digits than its factorization.

71097384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71097384960 in words is "seventy-one billion, ninety-seven million, three hundred eighty-four thousand, nine hundred sixty".