20885398732800 has 2700 divisors, whose sum is σ = 93317442067080. Its totient is φ = 4598786949120.

The previous prime is 20885398732729. The next prime is 20885398732817. The reversal of 20885398732800 is 823789358802.

20885398732800 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 539 + 8 + 73 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 47145369379 + ... + 47145369821.

Almost surely, 2^{20885398732800} is an apocalyptic number.

20885398732800 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 20885398732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46658721033540).

20885398732800 is an abundant number, since it is smaller than the sum of its proper divisors (72432043334280).

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

20885398732800 is an equidigital number, since it uses as much as digits as its factorization.

20885398732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 20885398732800 in words is "twenty trillion, eight hundred eighty-five billion, three hundred ninety-eight million, seven hundred thirty-two thousand, eight hundred".