21532553315200 has 192 divisors, whose sum is σ = 54518081869440. Its totient is φ = 8398540800000.

The previous prime is 21532553315197. The next prime is 21532553315219. The reversal of 21532553315200 is 251335523512.

It is a self number, because there is not a number n which added to its sum of digits gives 21532553315200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255929140 + ... + 256013260.

It is an arithmetic number, because the mean of its divisors is an integer number (283948343070).

Almost surely, 2^{21532553315200} is an apocalyptic number.

21532553315200 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 21532553315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27259040934720).

21532553315200 is an abundant number, since it is smaller than the sum of its proper divisors (32985528554240).

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

21532553315200 is a wasteful number, since it uses less digits than its factorization.

21532553315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86137 (or 86120 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

Adding to 21532553315200 its reverse (251335523512), we get a palindrome (21783888838712).

The spelling of 21532553315200 in words is "twenty-one trillion, five hundred thirty-two billion, five hundred fifty-three million, three hundred fifteen thousand, two hundred".