20116164263130 has 144 divisors (see below), whose sum is σ = 56638490893920. Its totient is φ = 4951343210112.

The previous prime is 20116164263059. The next prime is 20116164263141. The reversal of 20116164263130 is 3136246161102.

20116164263130 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 1 + 642 + 6 + 3 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×20116164263130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 294842161 + ... + 294910379.

It is an arithmetic number, because the mean of its divisors is an integer number (393322853430).

Almost surely, 2^{20116164263130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20116164263130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319245446960).

20116164263130 is an abundant number, since it is smaller than the sum of its proper divisors (36522326630790).

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

20116164263130 is a wasteful number, since it uses less digits than its factorization.

20116164263130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87645 (or 87629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20116164263130 in words is "twenty trillion, one hundred sixteen billion, one hundred sixty-four million, two hundred sixty-three thousand, one hundred thirty".