10745260823024 has 160 divisors (see below), whose sum is σ = 25817733559296. Its totient is φ = 4218636441600.

The previous prime is 10745260822997. The next prime is 10745260823131. The reversal of 10745260823024 is 42032806254701.

10745260823024 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067369639 + ... + 1067379705.

Almost surely, 2^{10745260823024} is an apocalyptic number.

10745260823024 is a gapful number since it is divisible by the number (14) 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 10745260823024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908866779648).

10745260823024 is an abundant number, since it is smaller than the sum of its proper divisors (15072472736272).

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

10745260823024 is a wasteful number, since it uses less digits than its factorization.

10745260823024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15583 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 10745260823024 in words is "ten trillion, seven hundred forty-five billion, two hundred sixty million, eight hundred twenty-three thousand, twenty-four".