71255669760 has 704 divisors, whose sum is σ = 282411325440. Its totient is φ = 16889610240.

The previous prime is 71255669689. The next prime is 71255669833. The reversal of 71255669760 is 6796655217.

71255669760 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 566 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 71255669697 and 71255669706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71469582 + ... + 71470578.

Almost surely, 2^71255669760 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 71255669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141205662720).

71255669760 is an abundant number, since it is smaller than the sum of its proper divisors (211155655680).

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

71255669760 is a wasteful number, since it uses less digits than its factorization.

71255669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 71255669760 in words is "seventy-one billion, two hundred fifty-five million, six hundred sixty-nine thousand, seven hundred sixty".