20799698400 has 360 divisors, whose sum is σ = 81690568344. Its totient is φ = 5119718400.

The previous prime is 20799698393. The next prime is 20799698459. The reversal of 20799698400 is 489699702.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 830055 + ... + 854745.

Almost surely, 2^20799698400 is an apocalyptic number.

20799698400 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 20799698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845284172).

20799698400 is an abundant number, since it is smaller than the sum of its proper divisors (60890869944).

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

20799698400 is a wasteful number, since it uses less digits than its factorization.

20799698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24736 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 20799698400 in words is "twenty billion, seven hundred ninety-nine million, six hundred ninety-eight thousand, four hundred".