10183840128 has 768 divisors, whose sum is σ = 39070080000. Its totient is φ = 2607897600.

The previous prime is 10183840099. The next prime is 10183840159. The reversal of 10183840128 is 82104838101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10183840092 and 10183840101.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 143434333 + ... + 143434403.

It is an arithmetic number, because the mean of its divisors is an integer number (50872500).

Almost surely, 2^10183840128 is an apocalyptic number.

10183840128 is a gapful number since it is divisible by the number (18) 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 10183840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040000).

10183840128 is an abundant number, since it is smaller than the sum of its proper divisors (28886239872).

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

10183840128 is an equidigital number, since it uses as much as digits as its factorization.

10183840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10183840128 in words is "ten billion, one hundred eighty-three million, eight hundred forty thousand, one hundred twenty-eight".