21105293328000 has 1152 divisors, whose sum is σ = 92810040148800. Its totient is φ = 4570139750400.

The previous prime is 21105293327971. The next prime is 21105293328143. The reversal of 21105293328000 is 82339250112.

21105293328000 is a `hidden beast` number, since 21 + 1 + 0 + 529 + 3 + 32 + 80 + 0 + 0 = 666.

21105293328000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133985287 + ... + 134142713.

Almost surely, 2^{21105293328000} is an apocalyptic number.

21105293328000 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 21105293328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46405020074400).

21105293328000 is an abundant number, since it is smaller than the sum of its proper divisors (71704746820800).

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

21105293328000 is a wasteful number, since it uses less digits than its factorization.

21105293328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157495 (or 157463 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21105293328000 in words is "twenty-one trillion, one hundred five billion, two hundred ninety-three million, three hundred twenty-eight thousand".