20005333350002 has 128 divisors (see below), whose sum is σ = 44515294322688. Its totient is φ = 6477092582400.

The previous prime is 20005333349977. The next prime is 20005333350007.

It is a happy number.

20005333350002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20005333350007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11995574 + ... + 13561137.

It is an arithmetic number, because the mean of its divisors is an integer number (347775736896).

Almost surely, 2^{20005333350002} is an apocalyptic number.

20005333350002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20005333350002 is an abundant number, since it is smaller than the sum of its proper divisors (24509960972686).

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

20005333350002 is a wasteful number, since it uses less digits than its factorization.

20005333350002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25556784.

The product of its (nonzero) digits is 8100, while the sum is 26.

It can be divided in two parts, 2000533 and 3350002, that added together give a palindrome (5350535).

The spelling of 20005333350002 in words is "twenty trillion, five billion, three hundred thirty-three million, three hundred fifty thousand, two".