10128447360 has 320 divisors, whose sum is σ = 36948985920. Its totient is φ = 2642817024.

The previous prime is 10128447359. The next prime is 10128447361. The reversal of 10128447360 is 6374482101.

10128447360 is a `hidden beast` number, since 1 + 0 + 128 + 4 + 473 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10128447359) and next prime (10128447361).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128447361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2434402 + ... + 2438558.

It is an arithmetic number, because the mean of its divisors is an integer number (115465581).

Almost surely, 2^10128447360 is an apocalyptic number.

10128447360 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 10128447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474492960).

10128447360 is an abundant number, since it is smaller than the sum of its proper divisors (26820538560).

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

10128447360 is an equidigital number, since it uses as much as digits as its factorization.

10128447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10128447360 in words is "ten billion, one hundred twenty-eight million, four hundred forty-seven thousand, three hundred sixty".