20985693300 has 864 divisors, whose sum is σ = 82573464960. Its totient is φ = 4528742400.

The previous prime is 20985693283. The next prime is 20985693307. The reversal of 20985693300 is 339658902.

20985693300 is a `hidden beast` number, since 209 + 8 + 56 + 93 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20985693307) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 185714044 + ... + 185714156.

It is an arithmetic number, because the mean of its divisors is an integer number (95571140).

Almost surely, 2^20985693300 is an apocalyptic number.

20985693300 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 20985693300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41286732480).

20985693300 is an abundant number, since it is smaller than the sum of its proper divisors (61587771660).

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

20985693300 is a wasteful number, since it uses less digits than its factorization.

20985693300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 20985693300 in words is "twenty billion, nine hundred eighty-five million, six hundred ninety-three thousand, three hundred".