10245699598560 has 768 divisors, whose sum is σ = 35872342732800. Its totient is φ = 2447026421760.

The previous prime is 10245699598523. The next prime is 10245699598573. The reversal of 10245699598560 is 6589599654201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5487786747 + ... + 5487788613.

It is an arithmetic number, because the mean of its divisors is an integer number (46708779600).

Almost surely, 2^{10245699598560} is an apocalyptic number.

10245699598560 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 10245699598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936171366400).

10245699598560 is an abundant number, since it is smaller than the sum of its proper divisors (25626643134240).

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

10245699598560 is a wasteful number, since it uses less digits than its factorization.

10245699598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 69.

The spelling of 10245699598560 in words is "ten trillion, two hundred forty-five billion, six hundred ninety-nine million, five hundred ninety-eight thousand, five hundred sixty".