20395746116928 has 1008 divisors, whose sum is σ = 77804433330624. Its totient is φ = 5045715763200.

The previous prime is 20395746116807. The next prime is 20395746116929. The reversal of 20395746116928 is 82961164759302.

20395746116928 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 5 + 7 + 4 + 611 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20395746116929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1914908403 + ... + 1914919053.

It is an arithmetic number, because the mean of its divisors is an integer number (77186937828).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20395746116928 = 40791492233856, but 3⋅20395746116928 = 61187238350784 is not.

Almost surely, 2^{20395746116928} is an apocalyptic number.

20395746116928 is a gapful number since it is divisible by the number (28) 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 20395746116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38902216665312).

20395746116928 is an abundant number, since it is smaller than the sum of its proper divisors (57408687213696).

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

20395746116928 is a wasteful number, since it uses less digits than its factorization.

20395746116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20395746116928 in words is "twenty trillion, three hundred ninety-five billion, seven hundred forty-six million, one hundred sixteen thousand, nine hundred twenty-eight".