19140820020 has 720 divisors, whose sum is σ = 75732370560. Its totient is φ = 4032758016.

The previous prime is 19140819953. The next prime is 19140820051. The reversal of 19140820020 is 2002804191.

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

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 239 ways as a sum of consecutive naturals, for example, 517319442 + ... + 517319478.

It is an arithmetic number, because the mean of its divisors is an integer number (105183848).

Almost surely, 2^19140820020 is an apocalyptic number.

19140820020 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 19140820020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866185280).

19140820020 is an abundant number, since it is smaller than the sum of its proper divisors (56591550540).

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

19140820020 is an equidigital number, since it uses as much as digits as its factorization.

19140820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 19140 and 820020, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 19140820020 in words is "nineteen billion, one hundred forty million, eight hundred twenty thousand, twenty".