20093076992304 has 640 divisors, whose sum is σ = 63107960832000. Its totient is φ = 6100359340032.

The previous prime is 20093076992297. The next prime is 20093076992347. The reversal of 20093076992304 is 40329967039002.

20093076992304 is a `hidden beast` number, since 20 + 0 + 9 + 307 + 6 + 9 + 9 + 2 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 5201415877 + ... + 5201419739.

It is an arithmetic number, because the mean of its divisors is an integer number (98606188800).

Almost surely, 2^{20093076992304} is an apocalyptic number.

20093076992304 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 20093076992304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31553980416000).

20093076992304 is an abundant number, since it is smaller than the sum of its proper divisors (43014883839696).

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

20093076992304 is a wasteful number, since it uses less digits than its factorization.

20093076992304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 20093076992304 in words is "twenty trillion, ninety-three billion, seventy-six million, nine hundred ninety-two thousand, three hundred four".