71201225164160 has 2304 divisors, whose sum is σ = 232316187816960. Its totient is φ = 20746551361536.

The previous prime is 71201225164151. The next prime is 71201225164219. The reversal of 71201225164160 is 6146152210217.

It is a super-2 number, since 2×71201225164160² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 665432010827 + ... + 665432010933.

It is an arithmetic number, because the mean of its divisors is an integer number (100831678740).

Almost surely, 2^{71201225164160} is an apocalyptic number.

71201225164160 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 71201225164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116158093908480).

71201225164160 is an abundant number, since it is smaller than the sum of its proper divisors (161114962652800).

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

71201225164160 is a wasteful number, since it uses less digits than its factorization.

71201225164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

Adding to 71201225164160 its reverse (6146152210217), we get a palindrome (77347377374377).

The spelling of 71201225164160 in words is "seventy-one trillion, two hundred one billion, two hundred twenty-five million, one hundred sixty-four thousand, one hundred sixty".