71828947753 has 8 divisors (see below), whose sum is σ = 71888814536. Its totient is φ = 71769110400.

The previous prime is 71828947741. The next prime is 71828947777. The reversal of 71828947753 is 35774982817.

It can be written as a sum of positive squares in 4 ways, for example, as 2800843929 + 69028103824 = 52923^2 + 262732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71828947753 - 2²⁹ = 71292076841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71828947691 and 71828947700.

It is not an unprimeable number, because it can be changed into a prime (71828947703) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8072575 + ... + 8081467.

It is an arithmetic number, because the mean of its divisors is an integer number (8986101817).

Almost surely, 2^71828947753 is an apocalyptic number.

It is an amenable number.

71828947753 is a deficient number, since it is larger than the sum of its proper divisors (59866783).

71828947753 is a wasteful number, since it uses less digits than its factorization.

71828947753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715.

The product of its digits is 23708160, while the sum is 61.

The spelling of 71828947753 in words is "seventy-one billion, eight hundred twenty-eight million, nine hundred forty-seven thousand, seven hundred fifty-three".