10089107280 has 480 divisors, whose sum is σ = 40505407488. Its totient is φ = 2286144000.

The previous prime is 10089107227. The next prime is 10089107291. The reversal of 10089107280 is 8270198001.

10089107280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20547835 + ... + 20548325.

Almost surely, 2^10089107280 is an apocalyptic number.

10089107280 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 10089107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252703744).

10089107280 is an abundant number, since it is smaller than the sum of its proper divisors (30416300208).

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

10089107280 is a wasteful number, since it uses less digits than its factorization.

10089107280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10089107280 in words is "ten billion, eighty-nine million, one hundred seven thousand, two hundred eighty".