20998036800 has 504 divisors, whose sum is σ = 80893822464. Its totient is φ = 5135339520.

The previous prime is 20998036739. The next prime is 20998036823. The reversal of 20998036800 is 863089902.

20998036800 is a `hidden beast` number, since 209 + 9 + 80 + 368 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 41745349 + ... + 41745851.

It is an arithmetic number, because the mean of its divisors is an integer number (160503616).

Almost surely, 2^20998036800 is an apocalyptic number.

20998036800 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 20998036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40446911232).

20998036800 is an abundant number, since it is smaller than the sum of its proper divisors (59895785664).

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

20998036800 is a wasteful number, since it uses less digits than its factorization.

20998036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20998036800 in words is "twenty billion, nine hundred ninety-eight million, thirty-six thousand, eight hundred".