20011332010320 has 960 divisors, whose sum is σ = 78860613312000. Its totient is φ = 4453382799360.

The previous prime is 20011332010301. The next prime is 20011332010379. The reversal of 20011332010320 is 2301023311002.

20011332010320 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 332 + 0 + 10 + 320 = 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 = 20011332010293 and 20011332010302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17819529279 + ... + 17819530401.

It is an arithmetic number, because the mean of its divisors is an integer number (82146472200).

Almost surely, 2^{20011332010320} is an apocalyptic number.

20011332010320 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 20011332010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39430306656000).

20011332010320 is an abundant number, since it is smaller than the sum of its proper divisors (58849281301680).

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

20011332010320 is a wasteful number, since it uses less digits than its factorization.

20011332010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011332010320 its reverse (2301023311002), we get a palindrome (22312355321322).

The spelling of 20011332010320 in words is "twenty trillion, eleven billion, three hundred thirty-two million, ten thousand, three hundred twenty".