20493178896384 has 288 divisors, whose sum is σ = 64292269436640. Its totient is φ = 6429213720576.

The previous prime is 20493178896361. The next prime is 20493178896397. The reversal of 20493178896384 is 48369887139402.

20493178896384 is a `hidden beast` number, since 2 + 0 + 4 + 93 + 1 + 78 + 8 + 96 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59991732 + ... + 60332364.

It is an arithmetic number, because the mean of its divisors is an integer number (223237046655).

Almost surely, 2^{20493178896384} is an apocalyptic number.

20493178896384 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 20493178896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32146134718320).

20493178896384 is an abundant number, since it is smaller than the sum of its proper divisors (43799090540256).

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

20493178896384 is an frugal number, since it uses more digits than its factorization.

20493178896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340693 (or 340655 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 20493178896384 in words is "twenty trillion, four hundred ninety-three billion, one hundred seventy-eight million, eight hundred ninety-six thousand, three hundred eighty-four".