71511568928 has 54 divisors (see below), whose sum is σ = 144431283087. Its totient is φ = 34853437440.

The previous prime is 71511568903. The next prime is 71511568937. The reversal of 71511568928 is 82986511517.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 18340743184 + 53170825744 = 135428^2 + 230588^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=189092.

It is a super-2 number, since 2×71511568928² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71511568928.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62021600 + ... + 62022752.

Almost surely, 2^71511568928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71511568928

71511568928 is an abundant number, since it is smaller than the sum of its proper divisors (72919714159).

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

71511568928 is an frugal number, since it uses more digits than its factorization.

71511568928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 1196 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 53.

The spelling of 71511568928 in words is "seventy-one billion, five hundred eleven million, five hundred sixty-eight thousand, nine hundred twenty-eight".