19820799360 has 512 divisors, whose sum is σ = 74651760000. Its totient is φ = 4960714752.

The previous prime is 19820799359. The next prime is 19820799413. The reversal of 19820799360 is 6399702891.

19820799360 is a `hidden beast` number, since 198 + 2 + 0 + 7 + 99 + 360 = 666.

It is a super-3 number, since 3×19820799360³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19820799297 and 19820799306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18540906 + ... + 18541974.

Almost surely, 2^19820799360 is an apocalyptic number.

19820799360 is a gapful number since it is divisible by the number (10) 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 19820799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37325880000).

19820799360 is an abundant number, since it is smaller than the sum of its proper divisors (54830960640).

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

19820799360 is a wasteful number, since it uses less digits than its factorization.

19820799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19820799360 in words is "nineteen billion, eight hundred twenty million, seven hundred ninety-nine thousand, three hundred sixty".