10243558080 has 1008 divisors, whose sum is σ = 45352996416. Its totient is φ = 2149908480.

The previous prime is 10243558069. The next prime is 10243558133. The reversal of 10243558080 is 8085534201.

It is a happy number.

10243558080 is a `hidden beast` number, since 1 + 0 + 24 + 3 + 558 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249842860 + ... + 249842900.

It is an arithmetic number, because the mean of its divisors is an integer number (44993052).

Almost surely, 2^10243558080 is an apocalyptic number.

10243558080 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 10243558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676498208).

10243558080 is an abundant number, since it is smaller than the sum of its proper divisors (35109438336).

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

10243558080 is an frugal number, since it uses more digits than its factorization.

10243558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10243558080 in words is "ten billion, two hundred forty-three million, five hundred fifty-eight thousand, eighty".