20852179660800 has 780 divisors, whose sum is σ = 79734102918976. Its totient is φ = 5381141299200.

The previous prime is 20852179660789. The next prime is 20852179660841. The reversal of 20852179660800 is 806697125802.

20852179660800 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 21 + 7 + 9 + 6 + 608 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 257085852 + ... + 257166948.

Almost surely, 2^{20852179660800} is an apocalyptic number.

20852179660800 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 20852179660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39867051459488).

20852179660800 is an abundant number, since it is smaller than the sum of its proper divisors (58881923258176).

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

20852179660800 is an equidigital number, since it uses as much as digits as its factorization.

20852179660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81174 (or 81138 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20852179660800 in words is "twenty trillion, eight hundred fifty-two billion, one hundred seventy-nine million, six hundred sixty thousand, eight hundred".