10134917564480 has 448 divisors, whose sum is σ = 28104413184000. Its totient is φ = 3453015785472.

The previous prime is 10134917564437. The next prime is 10134917564539. The reversal of 10134917564480 is 8446571943101.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2184718001 + ... + 2184722639.

Almost surely, 2^{10134917564480} is an apocalyptic number.

10134917564480 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 10134917564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052206592000).

10134917564480 is an abundant number, since it is smaller than the sum of its proper divisors (17969495619520).

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

10134917564480 is a wasteful number, since it uses less digits than its factorization.

10134917564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 10134917564480 in words is "ten trillion, one hundred thirty-four billion, nine hundred seventeen million, five hundred sixty-four thousand, four hundred eighty".