71520888105 has 192 divisors, whose sum is σ = 137713395456. Its totient is φ = 34191360000.

The previous prime is 71520888091. The next prime is 71520888121. The reversal of 71520888105 is 50188802517.

It is not a de Polignac number, because 71520888105 - 2⁶ = 71520888041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338961450 + ... + 338961660.

It is an arithmetic number, because the mean of its divisors is an integer number (717257268).

Almost surely, 2^71520888105 is an apocalyptic number.

It is an amenable number.

71520888105 is a deficient number, since it is larger than the sum of its proper divisors (66192507351).

71520888105 is a wasteful number, since it uses less digits than its factorization.

71520888105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 71520888105 in words is "seventy-one billion, five hundred twenty million, eight hundred eighty-eight thousand, one hundred five".