10417689504 has 96 divisors (see below), whose sum is σ = 30410412480. Its totient is φ = 3469651200.

The previous prime is 10417689481. The next prime is 10417689509. The reversal of 10417689504 is 40598671401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10417689504.

It is not an unprimeable number, because it can be changed into a prime (10417689509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188819 + ... + 1197549.

It is an arithmetic number, because the mean of its divisors is an integer number (316775130).

Almost surely, 2^10417689504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10417689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205206240).

10417689504 is an abundant number, since it is smaller than the sum of its proper divisors (19992722976).

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

10417689504 is a wasteful number, since it uses less digits than its factorization.

10417689504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131 (or 10117 counting only the distinct ones).

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

The spelling of 10417689504 in words is "ten billion, four hundred seventeen million, six hundred eighty-nine thousand, five hundred four".