10192040450592 has 768 divisors, whose sum is σ = 37679197151232. Its totient is φ = 2325192376320.

The previous prime is 10192040450549. The next prime is 10192040450633. The reversal of 10192040450592 is 29505404029101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 426558198 + ... + 426582090.

It is an arithmetic number, because the mean of its divisors is an integer number (49061454624).

Almost surely, 2^{10192040450592} is an apocalyptic number.

10192040450592 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 10192040450592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839598575616).

10192040450592 is an abundant number, since it is smaller than the sum of its proper divisors (27487156700640).

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

10192040450592 is a wasteful number, since it uses less digits than its factorization.

10192040450592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24153 (or 24145 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

Adding to 10192040450592 its reverse (29505404029101), we get a palindrome (39697444479693).

The spelling of 10192040450592 in words is "ten trillion, one hundred ninety-two billion, forty million, four hundred fifty thousand, five hundred ninety-two".