10243261108080 has 3200 divisors, whose sum is σ = 49833322463232. Its totient is φ = 1896846336000.

The previous prime is 10243261108063. The next prime is 10243261108181. The reversal of 10243261108080 is 8080116234201.

10243261108080 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 32 + 611 + 0 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 24330786270 + ... + 24330786690.

Almost surely, 2^{10243261108080} is an apocalyptic number.

10243261108080 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 10243261108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916661231616).

10243261108080 is an abundant number, since it is smaller than the sum of its proper divisors (39590061355152).

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

10243261108080 is a wasteful number, since it uses less digits than its factorization.

10243261108080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10243261108080 in words is "ten trillion, two hundred forty-three billion, two hundred sixty-one million, one hundred eight thousand, eighty".