71009883360 has 384 divisors, whose sum is σ = 272714117760. Its totient is φ = 17148837888.

The previous prime is 71009883353. The next prime is 71009883367. The reversal of 71009883360 is 6338890017.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71009883353) and next prime (71009883367).

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 (71009883367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2964552 + ... + 2988408.

It is an arithmetic number, because the mean of its divisors is an integer number (710193015).

Almost surely, 2^71009883360 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 71009883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136357058880).

71009883360 is an abundant number, since it is smaller than the sum of its proper divisors (201704234400).

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

71009883360 is a wasteful number, since it uses less digits than its factorization.

71009883360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23947 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 71009883360 in words is "seventy-one billion, nine million, eight hundred eighty-three thousand, three hundred sixty".