21850865068032 has 1344 divisors, whose sum is σ = 87958966193280. Its totient is φ = 5238610329600.

The previous prime is 21850865067991. The next prime is 21850865068037. The reversal of 21850865068032 is 23086056805812.

21850865068032 is a `hidden beast` number, since 2 + 1 + 8 + 50 + 8 + 6 + 506 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 21850865068032.

It is not an unprimeable number, because it can be changed into a prime (21850865068037) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494477682 + ... + 1494492302.

It is an arithmetic number, because the mean of its divisors is an integer number (65445659370).

Almost surely, 2^{21850865068032} is an apocalyptic number.

21850865068032 is a gapful number since it is divisible by the number (22) 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 21850865068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43979483096640).

21850865068032 is an abundant number, since it is smaller than the sum of its proper divisors (66108101125248).

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

21850865068032 is a wasteful number, since it uses less digits than its factorization.

21850865068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 21850865068032 in words is "twenty-one trillion, eight hundred fifty billion, eight hundred sixty-five million, sixty-eight thousand, thirty-two".