20755660800 has 720 divisors, whose sum is σ = 83212451840. Its totient is φ = 4459069440.

The previous prime is 20755660787. The next prime is 20755660811. The reversal of 20755660800 is 806655702.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163430337 + ... + 163430463.

Almost surely, 2^20755660800 is an apocalyptic number.

20755660800 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 20755660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41606225920).

20755660800 is an abundant number, since it is smaller than the sum of its proper divisors (62456791040).

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

20755660800 is a wasteful number, since it uses less digits than its factorization.

20755660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 20755660800 in words is "twenty billion, seven hundred fifty-five million, six hundred sixty thousand, eight hundred".