71205595560 has 256 divisors, whose sum is σ = 259639776000. Its totient is φ = 17214612480.

The previous prime is 71205595543. The next prime is 71205595567. The reversal of 71205595560 is 6559550217.

71205595560 is a `hidden beast` number, since 7 + 1 + 2 + 0 + 5 + 595 + 56 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71205595567) 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, 4423206 + ... + 4439274.

It is an arithmetic number, because the mean of its divisors is an integer number (1014217875).

Almost surely, 2^71205595560 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 71205595560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129819888000).

71205595560 is an abundant number, since it is smaller than the sum of its proper divisors (188434180440).

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

71205595560 is a wasteful number, since it uses less digits than its factorization.

71205595560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 71205595560 in words is "seventy-one billion, two hundred five million, five hundred ninety-five thousand, five hundred sixty".