10293450064128 has 1728 divisors, whose sum is σ = 40719619584000. Its totient is φ = 2537856921600.

The previous prime is 10293450064127. The next prime is 10293450064147. The reversal of 10293450064128 is 82146005439201.

10293450064128 is a `hidden beast` number, since 10 + 2 + 9 + 3 + 4 + 500 + 6 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10293450064128² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10293450064127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78575954623 + ... + 78575954753.

Almost surely, 2^{10293450064128} is an apocalyptic number.

10293450064128 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 10293450064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359809792000).

10293450064128 is an abundant number, since it is smaller than the sum of its proper divisors (30426169519872).

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

10293450064128 is an equidigital number, since it uses as much as digits as its factorization.

10293450064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10293450064128 in words is "ten trillion, two hundred ninety-three billion, four hundred fifty million, sixty-four thousand, one hundred twenty-eight".