21035033019000 has 6144 divisors, whose sum is σ = 108922724352000. Its totient is φ = 3629463552000.

The previous prime is 21035033018971. The next prime is 21035033019103. The reversal of 21035033019000 is 91033053012.

It is a happy number.

21035033019000 is a `hidden beast` number, since 2 + 1 + 0 + 350 + 3 + 301 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21035033019000² (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 polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 153540386932 + ... + 153540387068.

It is an arithmetic number, because the mean of its divisors is an integer number (17728308000).

Almost surely, 2^{21035033019000} is an apocalyptic number.

21035033019000 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 21035033019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54461362176000).

21035033019000 is an abundant number, since it is smaller than the sum of its proper divisors (87887691333000).

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

21035033019000 is a wasteful number, since it uses less digits than its factorization.

21035033019000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 21035033019000 in words is "twenty-one trillion, thirty-five billion, thirty-three million, nineteen thousand".