20727705600 has 1404 divisors, whose sum is σ = 94830352344. Its totient is φ = 4459069440.

The previous prime is 20727705569. The next prime is 20727705623. The reversal of 20727705600 is 650772702.

20727705600 is a `hidden beast` number, since 2 + 0 + 7 + 27 + 70 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1219276792 + ... + 1219276808.

It is an arithmetic number, because the mean of its divisors is an integer number (67542986).

Almost surely, 2^20727705600 is an apocalyptic number.

20727705600 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 20727705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415176172).

20727705600 is an abundant number, since it is smaller than the sum of its proper divisors (74102646744).

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

20727705600 is an equidigital number, since it uses as much as digits as its factorization.

20727705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 20727705600 in words is "twenty billion, seven hundred twenty-seven million, seven hundred five thousand, six hundred".