20544884950464 has 2016 divisors, whose sum is σ = 75402202337280. Its totient is φ = 5524703428608.

The previous prime is 20544884950459. The next prime is 20544884950477. The reversal of 20544884950464 is 46405948844502.

It is a happy number.

20544884950464 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 8 + 84 + 95 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149962663804 + ... + 149962663940.

It is an arithmetic number, because the mean of its divisors is an integer number (37401886080).

Almost surely, 2^{20544884950464} is an apocalyptic number.

20544884950464 is a gapful number since it is divisible by the number (24) 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 20544884950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37701101168640).

20544884950464 is an abundant number, since it is smaller than the sum of its proper divisors (54857317386816).

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

20544884950464 is a wasteful number, since it uses less digits than its factorization.

20544884950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 20544884950464 in words is "twenty trillion, five hundred forty-four billion, eight hundred eighty-four million, nine hundred fifty thousand, four hundred sixty-four".