19892113920 has 320 divisors, whose sum is σ = 80754474240. Its totient is φ = 4546658304.

The previous prime is 19892113867. The next prime is 19892113957. The reversal of 19892113920 is 2931129891.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463284 + ... + 504396.

It is an arithmetic number, because the mean of its divisors is an integer number (252357732).

Almost surely, 2^19892113920 is an apocalyptic number.

19892113920 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 19892113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40377237120).

19892113920 is an abundant number, since it is smaller than the sum of its proper divisors (60862360320).

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

19892113920 is an equidigital number, since it uses as much as digits as its factorization.

19892113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41152 (or 41130 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 19892113920 in words is "nineteen billion, eight hundred ninety-two million, one hundred thirteen thousand, nine hundred twenty".