20142071875080 has 256 divisors, whose sum is σ = 68271256166400. Its totient is φ = 5281351407360.

The previous prime is 20142071875063. The next prime is 20142071875157. The reversal of 20142071875080 is 8057817024102.

20142071875080 is a `hidden beast` number, since 2 + 0 + 1 + 420 + 71 + 87 + 5 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18381577 + ... + 19446503.

It is an arithmetic number, because the mean of its divisors is an integer number (266684594400).

Almost surely, 2^{20142071875080} is an apocalyptic number.

20142071875080 is a gapful number since it is divisible by the number (20) 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 20142071875080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34135628083200).

20142071875080 is an abundant number, since it is smaller than the sum of its proper divisors (48129184291320).

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

20142071875080 is a wasteful number, since it uses less digits than its factorization.

20142071875080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065241 (or 1065231 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

Adding to 20142071875080 its reverse (8057817024102), we get a palindrome (28199888899182).

The spelling of 20142071875080 in words is "twenty trillion, one hundred forty-two billion, seventy-one million, eight hundred seventy-five thousand, eighty".