21253321513200 has 240 divisors, whose sum is σ = 77836182022656. Its totient is φ = 4856104934400.

The previous prime is 21253321513189. The next prime is 21253321513279. The reversal of 21253321513200 is 231512335212.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22305754 + ... + 23239046.

Almost surely, 2^{21253321513200} is an apocalyptic number.

21253321513200 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 21253321513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918091011328).

21253321513200 is an abundant number, since it is smaller than the sum of its proper divisors (56582860509456).

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

21253321513200 is a wasteful number, since it uses less digits than its factorization.

21253321513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936032 (or 936021 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 21253321513200 its reverse (231512335212), we get a palindrome (21484833848412).

The spelling of 21253321513200 in words is "twenty-one trillion, two hundred fifty-three billion, three hundred twenty-one million, five hundred thirteen thousand, two hundred".