21115683288000 has 2352 divisors, whose sum is σ = 96029116653600. Its totient is φ = 4571242905600.

The previous prime is 21115683287891. The next prime is 21115683288013. The reversal of 21115683288000 is 88238651112.

21115683288000 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 568 + 3 + 2 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 5429590056 + ... + 5429593944.

Almost surely, 2^{21115683288000} is an apocalyptic number.

21115683288000 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 21115683288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48014558326800).

21115683288000 is an abundant number, since it is smaller than the sum of its proper divisors (74913433365600).

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

21115683288000 is an equidigital number, since it uses as much as digits as its factorization.

21115683288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 21115683288000 in words is "twenty-one trillion, one hundred fifteen billion, six hundred eighty-three million, two hundred eighty-eight thousand".