20806828570800 has 600 divisors, whose sum is σ = 79102170748656. Its totient is φ = 5219758817280.

The previous prime is 20806828570793. The next prime is 20806828570813. The reversal of 20806828570800 is 807582860802.

20806828570800 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 68 + 2 + 8 + 570 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×20806828570800³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1450249227 + ... + 1450263573.

Almost surely, 2^{20806828570800} is an apocalyptic number.

20806828570800 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 20806828570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39551085374328).

20806828570800 is an abundant number, since it is smaller than the sum of its proper divisors (58295342177856).

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

20806828570800 is a wasteful number, since it uses less digits than its factorization.

20806828570800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17027 (or 17007 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 20806828570800 in words is "twenty trillion, eight hundred six billion, eight hundred twenty-eight million, five hundred seventy thousand, eight hundred".