10128175316640 has 480 divisors, whose sum is σ = 35904152902464. Its totient is φ = 2688774082560.

The previous prime is 10128175316551. The next prime is 10128175316647. The reversal of 10128175316640 is 4661357182101.

10128175316640 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 17 + 531 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10128175316647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3647162932 + ... + 3647165708.

Almost surely, 2^{10128175316640} is an apocalyptic number.

10128175316640 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 10128175316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952076451232).

10128175316640 is an abundant number, since it is smaller than the sum of its proper divisors (25775977585824).

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

10128175316640 is a wasteful number, since it uses less digits than its factorization.

10128175316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10128175316640 in words is "ten trillion, one hundred twenty-eight billion, one hundred seventy-five million, three hundred sixteen thousand, six hundred forty".