20096826007104 has 1792 divisors, whose sum is σ = 79547708620800. Its totient is φ = 4832516505600.

The previous prime is 20096826007091. The next prime is 20096826007151. The reversal of 20096826007104 is 40170062869002.

It is a happy number.

20096826007104 is a `hidden beast` number, since 20 + 0 + 9 + 6 + 8 + 2 + 600 + 7 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20096826007104.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46412992872 + ... + 46412993304.

It is an arithmetic number, because the mean of its divisors is an integer number (44390462400).

Almost surely, 2^{20096826007104} is an apocalyptic number.

20096826007104 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 20096826007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39773854310400).

20096826007104 is an abundant number, since it is smaller than the sum of its proper divisors (59450882613696).

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

20096826007104 is a wasteful number, since it uses less digits than its factorization.

20096826007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20096826007104 in words is "twenty trillion, ninety-six billion, eight hundred twenty-six million, seven thousand, one hundred four".