20355133202976 has 384 divisors, whose sum is σ = 64879669370880. Its totient is φ = 5503170355200.

The previous prime is 20355133202939. The next prime is 20355133202977. The reversal of 20355133202976 is 67920233155302.

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

It is not an unprimeable number, because it can be changed into a prime (20355133202977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344254951 + ... + 344314073.

It is an arithmetic number, because the mean of its divisors is an integer number (168957472320).

Almost surely, 2^{20355133202976} is an apocalyptic number.

20355133202976 is a gapful number since it is divisible by the number (26) 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 20355133202976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32439834685440).

20355133202976 is an abundant number, since it is smaller than the sum of its proper divisors (44524536167904).

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

20355133202976 is a wasteful number, since it uses less digits than its factorization.

20355133202976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60000 (or 59992 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 20355133202976 in words is "twenty trillion, three hundred fifty-five billion, one hundred thirty-three million, two hundred two thousand, nine hundred seventy-six".