71516615976960 has 2304 divisors, whose sum is σ = 315531069235200. Its totient is φ = 13622457139200.

The previous prime is 71516615976829. The next prime is 71516615976961. The reversal of 71516615976960 is 6967951661517.

It is a super-2 number, since 2×71516615976960² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71516615976961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9752705454 + ... + 9752712786.

It is an arithmetic number, because the mean of its divisors is an integer number (136949248800).

Almost surely, 2^{71516615976960} is an apocalyptic number.

71516615976960 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 71516615976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157765534617600).

71516615976960 is an abundant number, since it is smaller than the sum of its proper divisors (244014453258240).

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

71516615976960 is a wasteful number, since it uses less digits than its factorization.

71516615976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 69.

The spelling of 71516615976960 in words is "seventy-one trillion, five hundred sixteen billion, six hundred fifteen million, nine hundred seventy-six thousand, nine hundred sixty".