10191841920 has 384 divisors, whose sum is σ = 38226988800. Its totient is φ = 2487214080.

The previous prime is 10191841909. The next prime is 10191841931. The reversal of 10191841920 is 2914819101.

10191841920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10191841909) and next prime (10191841931).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 9808761 + ... + 9809799.

It is an arithmetic number, because the mean of its divisors is an integer number (99549450).

Almost surely, 2^10191841920 is an apocalyptic number.

10191841920 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 10191841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113494400).

10191841920 is an abundant number, since it is smaller than the sum of its proper divisors (28035146880).

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

10191841920 is a wasteful number, since it uses less digits than its factorization.

10191841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10191841920 in words is "ten billion, one hundred ninety-one million, eight hundred forty-one thousand, nine hundred twenty".