71261258216580 has 72 divisors (see below), whose sum is σ = 216159993504000. Its totient is φ = 19002928030272.

The previous prime is 71261258216573. The next prime is 71261258216597. The reversal of 71261258216580 is 8561285216217.

71261258216580 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 1 + 2 + 58 + 2 + 1 + 6 + 580 = 666.

It is a super-2 number, since 2×71261258216580² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57767071 + ... + 58987769.

It is an arithmetic number, because the mean of its divisors is an integer number (3002222132000).

Almost surely, 2^{71261258216580} is an apocalyptic number.

It is an amenable number.

71261258216580 is an abundant number, since it is smaller than the sum of its proper divisors (144898735287420).

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

71261258216580 is a wasteful number, since it uses less digits than its factorization.

71261258216580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545033 (or 1545028 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 71261258216580 in words is "seventy-one trillion, two hundred sixty-one billion, two hundred fifty-eight million, two hundred sixteen thousand, five hundred eighty".