21000333375000 has 1344 divisors, whose sum is σ = 84799539552000. Its totient is φ = 4769409600000.

The previous prime is 21000333374941. The next prime is 21000333375101. The reversal of 21000333375000 is 57333300012.

It is a super-2 number, since 2×21000333375000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 60172874826 + ... + 60172875174.

It is an arithmetic number, because the mean of its divisors is an integer number (63094895500).

Almost surely, 2^{21000333375000} is an apocalyptic number.

21000333375000 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 21000333375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42399769776000).

21000333375000 is an abundant number, since it is smaller than the sum of its proper divisors (63799206177000).

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

21000333375000 is an frugal number, since it uses more digits than its factorization.

21000333375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

Adding to 21000333375000 its reverse (57333300012), we get a palindrome (21057666675012).

The spelling of 21000333375000 in words is "twenty-one trillion, three hundred thirty-three million, three hundred seventy-five thousand".