20933809029120 has 960 divisors, whose sum is σ = 73353747559680. Its totient is φ = 5097249570816.

The previous prime is 20933809029113. The next prime is 20933809029121. The reversal of 20933809029120 is 2192090833902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20933809029120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20933809029121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73971056499 + ... + 73971056781.

It is an arithmetic number, because the mean of its divisors is an integer number (76410153708).

Almost surely, 2^{20933809029120} is an apocalyptic number.

20933809029120 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 20933809029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36676873779840).

20933809029120 is an abundant number, since it is smaller than the sum of its proper divisors (52419938530560).

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

20933809029120 is an equidigital number, since it uses as much as digits as its factorization.

20933809029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 20933809029120 in words is "twenty trillion, nine hundred thirty-three billion, eight hundred nine million, twenty-nine thousand, one hundred twenty".