19820700000 has 360 divisors, whose sum is σ = 72890272224. Its totient is φ = 5283360000.

The previous prime is 19820699939. The next prime is 19820700007. The reversal of 19820700000 is 702891.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19820700007) by changing a digit.

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, 8098777 + ... + 8101223.

Almost surely, 2^19820700000 is an apocalyptic number.

19820700000 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 19820700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36445136112).

19820700000 is an abundant number, since it is smaller than the sum of its proper divisors (53069572224).

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

19820700000 is an frugal number, since it uses more digits than its factorization.

19820700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 19820700000 in words is "nineteen billion, eight hundred twenty million, seven hundred thousand".