71211916800 has 480 divisors, whose sum is σ = 268494943200. Its totient is φ = 18473287680.

The previous prime is 71211916793. The next prime is 71211916813. The reversal of 71211916800 is 861911217.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×71211916800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12784416 + ... + 12789984.

It is an arithmetic number, because the mean of its divisors is an integer number (559364465).

Almost surely, 2^71211916800 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 71211916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134247471600).

71211916800 is an abundant number, since it is smaller than the sum of its proper divisors (197283026400).

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

71211916800 is a wasteful number, since it uses less digits than its factorization.

71211916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 71211916800 in words is "seventy-one billion, two hundred eleven million, nine hundred sixteen thousand, eight hundred".