21003366115200 has 1152 divisors, whose sum is σ = 83328666624000. Its totient is φ = 4631471308800.

The previous prime is 21003366115181. The next prime is 21003366115223. The reversal of 21003366115200 is 251166330012.

It is a super-2 number, since 2×21003366115200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 5089255537 + ... + 5089259663.

It is an arithmetic number, because the mean of its divisors is an integer number (72333912000).

Almost surely, 2^{21003366115200} is an apocalyptic number.

21003366115200 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 21003366115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664333312000).

21003366115200 is an abundant number, since it is smaller than the sum of its proper divisors (62325300508800).

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

21003366115200 is a wasteful number, since it uses less digits than its factorization.

21003366115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 21003366115200 in words is "twenty-one trillion, three billion, three hundred sixty-six million, one hundred fifteen thousand, two hundred".