10089124128 has 240 divisors, whose sum is σ = 31101840000. Its totient is φ = 3204085248.

The previous prime is 10089124117. The next prime is 10089124183. The reversal of 10089124128 is 82142198001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10089124092 and 10089124101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5937423 + ... + 5939121.

It is an arithmetic number, because the mean of its divisors is an integer number (129591000).

Almost surely, 2^10089124128 is an apocalyptic number.

10089124128 is a gapful number since it is divisible by the number (18) 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 10089124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550920000).

10089124128 is an abundant number, since it is smaller than the sum of its proper divisors (21012715872).

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

10089124128 is a wasteful number, since it uses less digits than its factorization.

10089124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10089124128 in words is "ten billion, eighty-nine million, one hundred twenty-four thousand, one hundred twenty-eight".