20126164775064 has 128 divisors (see below), whose sum is σ = 53684184983040. Its totient is φ = 6265730598912.

The previous prime is 20126164775029. The next prime is 20126164775083. The reversal of 20126164775064 is 46057746162102.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 20126164774998 and 20126164775016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43195389 + ... + 43658835.

It is an arithmetic number, because the mean of its divisors is an integer number (419407695180).

Almost surely, 2^{20126164775064} is an apocalyptic number.

20126164775064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126164775064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26842092491520).

20126164775064 is an abundant number, since it is smaller than the sum of its proper divisors (33558020207976).

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

20126164775064 is a wasteful number, since it uses less digits than its factorization.

20126164775064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464289 (or 464285 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 20126164775064 in words is "twenty trillion, one hundred twenty-six billion, one hundred sixty-four million, seven hundred seventy-five thousand, sixty-four".