21030513235200 has 3456 divisors, whose sum is σ = 94591969059840. Its totient is φ = 4471809638400.

The previous prime is 21030513235183. The next prime is 21030513235231. The reversal of 21030513235200 is 253231503012.

It is a happy number.

21030513235200 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 0 + 5 + 132 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 133952313522 + ... + 133952313678.

Almost surely, 2^{21030513235200} is an apocalyptic number.

21030513235200 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 21030513235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47295984529920).

21030513235200 is an abundant number, since it is smaller than the sum of its proper divisors (73561455824640).

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

21030513235200 is a wasteful number, since it uses less digits than its factorization.

21030513235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 21030513235200 its reverse (253231503012), we get a palindrome (21283744738212).

The spelling of 21030513235200 in words is "twenty-one trillion, thirty billion, five hundred thirteen million, two hundred thirty-five thousand, two hundred".