71505992140800 has 1152 divisors, whose sum is σ = 280096452679680. Its totient is φ = 15752665497600.

The previous prime is 71505992140783. The next prime is 71505992140813. The reversal of 71505992140800 is 804129950517.

It is a super-2 number, since 2×71505992140800² (a number of 29 digits) contains 22 as substring.

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, 3658895829 + ... + 3658915371.

It is an arithmetic number, because the mean of its divisors is an integer number (243139281840).

Almost surely, 2^{71505992140800} is an apocalyptic number.

71505992140800 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 71505992140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140048226339840).

71505992140800 is an abundant number, since it is smaller than the sum of its proper divisors (208590460538880).

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

71505992140800 is a wasteful number, since it uses less digits than its factorization.

71505992140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19709 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 71505992140800 in words is "seventy-one trillion, five hundred five billion, nine hundred ninety-two million, one hundred forty thousand, eight hundred".