21530503513200 has 240 divisors, whose sum is σ = 78510599214336. Its totient is φ = 4992580454400.

The previous prime is 21530503513193. The next prime is 21530503513219. The reversal of 21530503513200 is 231530503512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 35155069 + ... + 35762268.

Almost surely, 2^{21530503513200} is an apocalyptic number.

21530503513200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21530503513200 is an abundant number, since it is smaller than the sum of its proper divisors (56980095701136).

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

21530503513200 is a wasteful number, since it uses less digits than its factorization.

21530503513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70917392 (or 70917381 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 21530503513200 in words is "twenty-one trillion, five hundred thirty billion, five hundred three million, five hundred thirteen thousand, two hundred".