21940550457084 has 192 divisors, whose sum is σ = 67136183009280. Its totient is φ = 6063792477120.

The previous prime is 21940550457079. The next prime is 21940550457157. The reversal of 21940550457084 is 48075405504912.

21940550457084 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 0 + 5 + 504 + 57 + 0 + 84 = 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 21940550457084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52358257 + ... + 52775639.

It is an arithmetic number, because the mean of its divisors is an integer number (349667619840).

Almost surely, 2^{21940550457084} 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 21940550457084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33568091504640).

21940550457084 is an abundant number, since it is smaller than the sum of its proper divisors (45195632552196).

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

21940550457084 is a wasteful number, since it uses less digits than its factorization.

21940550457084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419677 (or 419669 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 21940550457084 in words is "twenty-one trillion, nine hundred forty billion, five hundred fifty million, four hundred fifty-seven thousand, eighty-four".