10191928845312 has 528 divisors, whose sum is σ = 31308126769920. Its totient is φ = 3184352870400.

The previous prime is 10191928845311. The next prime is 10191928845341. The reversal of 10191928845312 is 21354882919101.

10191928845312 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 9 + 28 + 84 + 531 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10191928845311) 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 47 ways as a sum of consecutive naturals, for example, 14749534887 + ... + 14749535577.

It is an arithmetic number, because the mean of its divisors is an integer number (59295694640).

Almost surely, 2^{10191928845312} is an apocalyptic number.

10191928845312 is a gapful number since it is divisible by the number (12) 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 10191928845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654063384960).

10191928845312 is an abundant number, since it is smaller than the sum of its proper divisors (21116197924608).

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

10191928845312 is a wasteful number, since it uses less digits than its factorization.

10191928845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 10191928845312 in words is "ten trillion, one hundred ninety-one billion, nine hundred twenty-eight million, eight hundred forty-five thousand, three hundred twelve".