71008765900800 has 1152 divisors, whose sum is σ = 295066814515200. Its totient is φ = 14663166197760.

The previous prime is 71008765900783. The next prime is 71008765900823. The reversal of 71008765900800 is 800956780017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656893156 + ... + 657001244.

It is an arithmetic number, because the mean of its divisors is an integer number (256134387600).

Almost surely, 2^{71008765900800} is an apocalyptic number.

71008765900800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71008765900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147533407257600).

71008765900800 is an abundant number, since it is smaller than the sum of its proper divisors (224058048614400).

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

71008765900800 is a wasteful number, since it uses less digits than its factorization.

71008765900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108191 (or 108166 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 71008765900800 in words is "seventy-one trillion, eight billion, seven hundred sixty-five million, nine hundred thousand, eight hundred".