20853161164800 has 1536 divisors, whose sum is σ = 79892974022400. Its totient is φ = 5327950970880.

The previous prime is 20853161164769. The next prime is 20853161164811. The reversal of 20853161164800 is 846116135802.

20853161164800 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 3 + 161 + 1 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67925606247 + ... + 67925606553.

Almost surely, 2^{20853161164800} is an apocalyptic number.

20853161164800 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 20853161164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946487011200).

20853161164800 is an abundant number, since it is smaller than the sum of its proper divisors (59039812857600).

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

20853161164800 is an equidigital number, since it uses as much as digits as its factorization.

20853161164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20853161164800 in words is "twenty trillion, eight hundred fifty-three billion, one hundred sixty-one million, one hundred sixty-four thousand, eight hundred".