16532504352000 has 8640 divisors, whose sum is σ = 88671945922560. Its totient is φ = 3009871872000.

The previous prime is 16532504351939. The next prime is 16532504352011. The reversal of 16532504352000 is 25340523561.

16532504352000 is a `hidden beast` number, since 1 + 6 + 53 + 250 + 4 + 352 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 533306591985 + ... + 533306592015.

It is an arithmetic number, because the mean of its divisors is an integer number (10262956704).

Almost surely, 2^{16532504352000} is an apocalyptic number.

16532504352000 is a gapful number since it is divisible by the number (10) 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 16532504352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44335972961280).

16532504352000 is an abundant number, since it is smaller than the sum of its proper divisors (72139441570560).

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

16532504352000 is a wasteful number, since it uses less digits than its factorization.

16532504352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 16532504352000 its reverse (25340523561), we get a palindrome (16557844875561).

The spelling of 16532504352000 in words is "sixteen trillion, five hundred thirty-two billion, five hundred four million, three hundred fifty-two thousand".