71261313260064 has 24 divisors (see below), whose sum is σ = 187060947307920. Its totient is φ = 23753771086656.

The previous prime is 71261313260063. The next prime is 71261313260069. The reversal of 71261313260064 is 46006231316217.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 71261313259998 and 71261313260025.

It is not an unprimeable number, because it can be changed into a prime (71261313260063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371152673134 + ... + 371152673325.

It is an arithmetic number, because the mean of its divisors is an integer number (7794206137830).

Almost surely, 2^{71261313260064} is an apocalyptic number.

It is an amenable number.

71261313260064 is an abundant number, since it is smaller than the sum of its proper divisors (115799634047856).

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

71261313260064 is a wasteful number, since it uses less digits than its factorization.

71261313260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742305346472 (or 742305346464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 71261313260064 in words is "seventy-one trillion, two hundred sixty-one billion, three hundred thirteen million, two hundred sixty thousand, sixty-four".