71432584920 has 96 divisors (see below), whose sum is σ = 245812151520. Its totient is φ = 17928176640.

The previous prime is 71432584901. The next prime is 71432584943. The reversal of 71432584920 is 2948523417.

71432584920 is a `hidden beast` number, since 7 + 1 + 43 + 2 + 584 + 9 + 20 = 666.

It is a super-2 number, since 2×71432584920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5829876 + ... + 5842115.

It is an arithmetic number, because the mean of its divisors is an integer number (2560543245).

Almost surely, 2^71432584920 is an apocalyptic number.

It is an amenable number.

71432584920 is an abundant number, since it is smaller than the sum of its proper divisors (174379566600).

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

71432584920 is a wasteful number, since it uses less digits than its factorization.

71432584920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672025 (or 11672018 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71432584920 in words is "seventy-one billion, four hundred thirty-two million, five hundred eighty-four thousand, nine hundred twenty".