20116164075763 has 32 divisors (see below), whose sum is σ = 24887756390400. Its totient is φ = 15880525800480.

The previous prime is 20116164075757. The next prime is 20116164075781. The reversal of 20116164075763 is 36757046161102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20116164075763 - 2²¹ = 20116161978611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20116164079763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9133645 + ... + 11120062.

It is an arithmetic number, because the mean of its divisors is an integer number (777742387200).

Almost surely, 2^{20116164075763} is an apocalyptic number.

20116164075763 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20116164075763 is a deficient number, since it is larger than the sum of its proper divisors (4771592314637).

20116164075763 is a wasteful number, since it uses less digits than its factorization.

20116164075763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20253967.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 20116164075763 in words is "twenty trillion, one hundred sixteen billion, one hundred sixty-four million, seventy-five thousand, seven hundred sixty-three".