71305554960 has 640 divisors, whose sum is σ = 271525478400. Its totient is φ = 17137612800.

The previous prime is 71305554899. The next prime is 71305554973. The reversal of 71305554960 is 6945550317.

71305554960 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 5 + 554 + 96 + 0 = 666.

It is a Cunningham number, because it is equal to 267031²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61950385 + ... + 61951535.

It is an arithmetic number, because the mean of its divisors is an integer number (424258560).

Almost surely, 2^71305554960 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 71305554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135762739200).

71305554960 is an abundant number, since it is smaller than the sum of its proper divisors (200219923440).

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

71305554960 is a wasteful number, since it uses less digits than its factorization.

71305554960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 71305554960 in words is "seventy-one billion, three hundred five million, five hundred fifty-four thousand, nine hundred sixty".