21012816333600 has 2160 divisors, whose sum is σ = 96565647028032. Its totient is φ = 4432193095680.

The previous prime is 21012816333569. The next prime is 21012816333601. The reversal of 21012816333600 is 633361821012.

21012816333600 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 8 + 16 + 3 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012816333601) 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 359 ways as a sum of consecutive naturals, for example, 6067805469 + ... + 6067808931.

Almost surely, 2^{21012816333600} is an apocalyptic number.

21012816333600 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 21012816333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282823514016).

21012816333600 is an abundant number, since it is smaller than the sum of its proper divisors (75552830694432).

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

21012816333600 is an equidigital number, since it uses as much as digits as its factorization.

21012816333600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21012816333600 in words is "twenty-one trillion, twelve billion, eight hundred sixteen million, three hundred thirty-three thousand, six hundred".