21513100752000 has 3072 divisors, whose sum is σ = 95281117102080. Its totient is φ = 4580167680000.

The previous prime is 21513100751887. The next prime is 21513100752001. The reversal of 21513100752000 is 25700131512.

21513100752000 is a `hidden beast` number, since 2 + 1 + 5 + 131 + 0 + 0 + 7 + 520 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21513100752001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 42769583749 + ... + 42769584251.

It is an arithmetic number, because the mean of its divisors is an integer number (31015988640).

Almost surely, 2^{21513100752000} is an apocalyptic number.

21513100752000 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 21513100752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47640558551040).

21513100752000 is an abundant number, since it is smaller than the sum of its proper divisors (73768016350080).

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

21513100752000 is a wasteful number, since it uses less digits than its factorization.

21513100752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 21513100752000 its reverse (25700131512), we get a palindrome (21538800883512).

The spelling of 21513100752000 in words is "twenty-one trillion, five hundred thirteen billion, one hundred million, seven hundred fifty-two thousand".