20075350176 has 576 divisors, whose sum is σ = 72601401600. Its totient is φ = 5369075712.

The previous prime is 20075350157. The next prime is 20075350241. The reversal of 20075350176 is 67105357002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20075350176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51607390 + ... + 51607778.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 2^20075350176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20075350176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300700800).

20075350176 is an abundant number, since it is smaller than the sum of its proper divisors (52526051424).

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

20075350176 is a wasteful number, since it uses less digits than its factorization.

20075350176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 20075350176 in words is "twenty billion, seventy-five million, three hundred fifty thousand, one hundred seventy-six".