21253252233552 has 240 divisors, whose sum is σ = 59355555554880. Its totient is φ = 6549908455424.

The previous prime is 21253252233539. The next prime is 21253252233571. The reversal of 21253252233552 is 25533225235212.

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, 1221934168 + ... + 1221951560.

It is an arithmetic number, because the mean of its divisors is an integer number (247314814812).

Almost surely, 2^{21253252233552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21253252233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29677777777440).

21253252233552 is an abundant number, since it is smaller than the sum of its proper divisors (38102303321328).

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

21253252233552 is a wasteful number, since it uses less digits than its factorization.

21253252233552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990 (or 18967 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 42.

Adding to 21253252233552 its reverse (25533225235212), we get a palindrome (46786477468764).

The spelling of 21253252233552 in words is "twenty-one trillion, two hundred fifty-three billion, two hundred fifty-two million, two hundred thirty-three thousand, five hundred fifty-two".