21354521252000 has 384 divisors, whose sum is σ = 53963943441408. Its totient is φ = 8301090816000.

The previous prime is 21354521251969. The next prime is 21354521252033. The reversal of 21354521252000 is 25212545312.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 63 ways as a sum of consecutive naturals, for example, 29133043634 + ... + 29133044366.

It is an arithmetic number, because the mean of its divisors is an integer number (140531102712).

Almost surely, 2^{21354521252000} is an apocalyptic number.

21354521252000 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 21354521252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26981971720704).

21354521252000 is an abundant number, since it is smaller than the sum of its proper divisors (32609422189408).

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

21354521252000 is a wasteful number, since it uses less digits than its factorization.

21354521252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 21354521252000 its reverse (25212545312), we get a palindrome (21379733797312).

The spelling of 21354521252000 in words is "twenty-one trillion, three hundred fifty-four billion, five hundred twenty-one million, two hundred fifty-two thousand".