21335533553312 has 48 divisors (see below), whose sum is σ = 46599566781600. Its totient is φ = 9533597418240.

The previous prime is 21335533553291. The next prime is 21335533553359.

21335533553312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 513642887 + ... + 513684422.

It is an arithmetic number, because the mean of its divisors is an integer number (970824307950).

Almost surely, 2^{21335533553312} is an apocalyptic number.

21335533553312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21335533553312 is an abundant number, since it is smaller than the sum of its proper divisors (25264033228288).

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

21335533553312 is a wasteful number, since it uses less digits than its factorization.

21335533553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027327389 (or 1027327381 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 44.

It can be divided in two parts, 2133553 and 3553312, that added together give a palindrome (5686865).

The spelling of 21335533553312 in words is "twenty-one trillion, three hundred thirty-five billion, five hundred thirty-three million, five hundred fifty-three thousand, three hundred twelve".