10217682507040 has 48 divisors (see below), whose sum is σ = 24146488400832. Its totient is φ = 4085851673344.

The previous prime is 10217682506947. The next prime is 10217682507061. The reversal of 10217682507040 is 4070528671201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9004444 + ... + 10075483.

It is an arithmetic number, because the mean of its divisors is an integer number (503051841684).

Almost surely, 2^{10217682507040} is an apocalyptic number.

10217682507040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217682507040 is an abundant number, since it is smaller than the sum of its proper divisors (13928805893792).

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

10217682507040 is a wasteful number, since it uses less digits than its factorization.

10217682507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19083289 (or 19083281 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 10217682507040 in words is "ten trillion, two hundred seventeen billion, six hundred eighty-two million, five hundred seven thousand, forty".