10245432050304 has 256 divisors, whose sum is σ = 30225829173120. Its totient is φ = 3048652800000.

The previous prime is 10245432050279. The next prime is 10245432050311. The reversal of 10245432050304 is 40305023454201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 154822984 + ... + 154889144.

Almost surely, 2^{10245432050304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245432050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112914586560).

10245432050304 is an abundant number, since it is smaller than the sum of its proper divisors (19980397122816).

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

10245432050304 is a wasteful number, since it uses less digits than its factorization.

10245432050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66851 (or 66839 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 10245432050304 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-two million, fifty thousand, three hundred four".