20801194558560 has 192 divisors, whose sum is σ = 78404502778560. Its totient is φ = 5120294031360.

The previous prime is 20801194558549. The next prime is 20801194558567. The reversal of 20801194558560 is 6585549110802.

20801194558560 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 1 + 19 + 45 + 585 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20801194558497 and 20801194558506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801194558567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185139661 + ... + 185251980.

It is an arithmetic number, because the mean of its divisors is an integer number (408356785305).

Almost surely, 2^{20801194558560} is an apocalyptic number.

20801194558560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20801194558560 is an abundant number, since it is smaller than the sum of its proper divisors (57603308220000).

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

20801194558560 is a wasteful number, since it uses less digits than its factorization.

20801194558560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370391678 (or 370391664 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 20801194558560 in words is "twenty trillion, eight hundred one billion, one hundred ninety-four million, five hundred fifty-eight thousand, five hundred sixty".