10128568320 has 416 divisors, whose sum is σ = 38805681600. Its totient is φ = 2491416576.

The previous prime is 10128568301. The next prime is 10128568327. The reversal of 10128568320 is 2386582101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128568327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7187776 + ... + 7189184.

Almost surely, 2^10128568320 is an apocalyptic number.

10128568320 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 10128568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402840800).

10128568320 is an abundant number, since it is smaller than the sum of its proper divisors (28677113280).

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

10128568320 is a wasteful number, since it uses less digits than its factorization.

10128568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10128568320 in words is "ten billion, one hundred twenty-eight million, five hundred sixty-eight thousand, three hundred twenty".