21063905788032 has 768 divisors, whose sum is σ = 68468687769600. Its totient is φ = 6360012933120.

The previous prime is 21063905788031. The next prime is 21063905788091. The reversal of 21063905788032 is 23088750936012.

21063905788032 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 39 + 0 + 578 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21063905788032.

It is not an unprimeable number, because it can be changed into a prime (21063905788031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3590231563 + ... + 3590237429.

It is an arithmetic number, because the mean of its divisors is an integer number (89151937200).

Almost surely, 2^{21063905788032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21063905788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234343884800).

21063905788032 is an abundant number, since it is smaller than the sum of its proper divisors (47404781981568).

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

21063905788032 is a wasteful number, since it uses less digits than its factorization.

21063905788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21063905788032 in words is "twenty-one trillion, sixty-three billion, nine hundred five million, seven hundred eighty-eight thousand, thirty-two".