20381973603264 has 1120 divisors, whose sum is σ = 75054453985280. Its totient is φ = 5325645791232.

The previous prime is 20381973603259. The next prime is 20381973603373. The reversal of 20381973603264 is 46230637918302.

20381973603264 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 1 + 9 + 7 + 3 + 603 + 26 + 4 = 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 20381973603264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32927259147 + ... + 32927259765.

It is an arithmetic number, because the mean of its divisors is an integer number (67012905344).

Almost surely, 2^{20381973603264} is an apocalyptic number.

20381973603264 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 20381973603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37527226992640).

20381973603264 is an abundant number, since it is smaller than the sum of its proper divisors (54672480382016).

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

20381973603264 is a wasteful number, since it uses less digits than its factorization.

20381973603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 20381973603264 in words is "twenty trillion, three hundred eighty-one billion, nine hundred seventy-three million, six hundred three thousand, two hundred sixty-four".