71295980800 has 432 divisors, whose sum is σ = 200408673024. Its totient is φ = 24883200000.

The previous prime is 71295980797. The next prime is 71295980809. The reversal of 71295980800 is 808959217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71295980809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263084665 + ... + 263084935.

Almost surely, 2^71295980800 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 71295980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100204336512).

71295980800 is an abundant number, since it is smaller than the sum of its proper divisors (129112692224).

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

71295980800 is a wasteful number, since it uses less digits than its factorization.

71295980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 71295980800 in words is "seventy-one billion, two hundred ninety-five million, nine hundred eighty thousand, eight hundred".