10088008128 has 252 divisors, whose sum is σ = 32394640824. Its totient is φ = 2998195200.

The previous prime is 10088008123. The next prime is 10088008171. The reversal of 10088008128 is 82180088001.

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 = 10088008092 and 10088008101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088008123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3692523 + ... + 3695253.

It is an arithmetic number, because the mean of its divisors is an integer number (128550162).

Almost surely, 2^10088008128 is an apocalyptic number.

10088008128 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 10088008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197320412).

10088008128 is an abundant number, since it is smaller than the sum of its proper divisors (22306632696).

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

10088008128 is a wasteful number, since it uses less digits than its factorization.

10088008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 10088008128 in words is "ten billion, eighty-eight million, eight thousand, one hundred twenty-eight".