53517720416667 has 128 divisors (see below), whose sum is σ = 85342873190400. Its totient is φ = 29534901696000.

The previous prime is 53517720416623. The next prime is 53517720416687. The reversal of 53517720416667 is 76661402771535.

53517720416667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53517720416667 - 2¹² = 53517720412571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53517720416667.

It is not an unprimeable number, because it can be changed into a prime (53517720416687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192426934 + ... + 192704852.

It is an arithmetic number, because the mean of its divisors is an integer number (666741196800).

Almost surely, 2^{53517720416667} is an apocalyptic number.

53517720416667 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

53517720416667 is a deficient number, since it is larger than the sum of its proper divisors (31825152773733).

53517720416667 is a wasteful number, since it uses less digits than its factorization.

53517720416667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278169.

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 53517720416667 in words is "fifty-three trillion, five hundred seventeen billion, seven hundred twenty million, four hundred sixteen thousand, six hundred sixty-seven".