20032100302032 has 800 divisors, whose sum is σ = 79532747078400. Its totient is φ = 4710700302336.

The previous prime is 20032100302009. The next prime is 20032100302061. The reversal of 20032100302032 is 23020300123002.

It is a happy number.

20032100302032 is a `hidden beast` number, since 200 + 32 + 100 + 302 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20032100301996 and 20032100302014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37830394 + ... + 38356262.

It is an arithmetic number, because the mean of its divisors is an integer number (99415933848).

Almost surely, 2^{20032100302032} 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 20032100302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39766373539200).

20032100302032 is an abundant number, since it is smaller than the sum of its proper divisors (59500646776368).

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

20032100302032 is a wasteful number, since it uses less digits than its factorization.

20032100302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525945 (or 525930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20032100302032 its reverse (23020300123002), we get a palindrome (43052400425034).

The spelling of 20032100302032 in words is "twenty trillion, thirty-two billion, one hundred million, three hundred two thousand, thirty-two".