10245432046560 has 192 divisors, whose sum is σ = 32919140524032. Its totient is φ = 2677943310336.

The previous prime is 10245432046529. The next prime is 10245432046561. The reversal of 10245432046560 is 6564023454201.

It is a happy number.

10245432046560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245432046561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047222 + ... + 6072138.

It is an arithmetic number, because the mean of its divisors is an integer number (171453856896).

Almost surely, 2^{10245432046560} is an apocalyptic number.

10245432046560 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 10245432046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459570262016).

10245432046560 is an abundant number, since it is smaller than the sum of its proper divisors (22673708477472).

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

10245432046560 is a wasteful number, since it uses less digits than its factorization.

10245432046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025145 (or 2025137 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 10245432046560 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-two million, forty-six thousand, five hundred sixty".