20794541603040 has 1152 divisors, whose sum is σ = 80165141102592. Its totient is φ = 5075665182720.

The previous prime is 20794541603009. The next prime is 20794541603113. The reversal of 20794541603040 is 4030614549702.

20794541603040 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 4 + 541 + 60 + 3 + 0 + 40 = 666.

It is a super-2 number, since 2×20794541603040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2018294529 + ... + 2018304831.

It is an arithmetic number, because the mean of its divisors is an integer number (69587796096).

Almost surely, 2^{20794541603040} is an apocalyptic number.

20794541603040 is a gapful number since it is divisible by the number (20) 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 20794541603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40082570551296).

20794541603040 is an abundant number, since it is smaller than the sum of its proper divisors (59370599499552).

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

20794541603040 is a wasteful number, since it uses less digits than its factorization.

20794541603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20794541603040 in words is "twenty trillion, seven hundred ninety-four billion, five hundred forty-one million, six hundred three thousand, forty".