71153730560 has 264 divisors, whose sum is σ = 192048033408. Its totient is φ = 25262899200.

The previous prime is 71153730559. The next prime is 71153730577. The reversal of 71153730560 is 6503735117.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26638025 + ... + 26640695.

It is an arithmetic number, because the mean of its divisors is an integer number (727454672).

Almost surely, 2^71153730560 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 71153730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96024016704).

71153730560 is an abundant number, since it is smaller than the sum of its proper divisors (120894302848).

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

71153730560 is a wasteful number, since it uses less digits than its factorization.

71153730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The spelling of 71153730560 in words is "seventy-one billion, one hundred fifty-three million, seven hundred thirty thousand, five hundred sixty".