21164016025600 has 1080 divisors, whose sum is σ = 63281606905440. Its totient is φ = 6996445102080.

The previous prime is 21164016025597. The next prime is 21164016025657. The reversal of 21164016025600 is 652061046112.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118234726311 + ... + 118234726489.

It is an arithmetic number, because the mean of its divisors is an integer number (58594080468).

Almost surely, 2^{21164016025600} is an apocalyptic number.

21164016025600 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 21164016025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640803452720).

21164016025600 is an abundant number, since it is smaller than the sum of its proper divisors (42117590879840).

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

21164016025600 is a wasteful number, since it uses less digits than its factorization.

21164016025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 21164016025600 in words is "twenty-one trillion, one hundred sixty-four billion, sixteen million, twenty-five thousand, six hundred".