10517845000 has 160 divisors (see below), whose sum is σ = 26813666880. Its totient is φ = 3843360000.

The previous prime is 10517844977. The next prime is 10517845001. The reversal of 10517845000 is 54871501.

It is a super-2 number, since 2×10517845000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10517845001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6694215 + ... + 6695785.

It is an arithmetic number, because the mean of its divisors is an integer number (167585418).

Almost surely, 2^10517845000 is an apocalyptic number.

10517845000 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 10517845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406833440).

10517845000 is an abundant number, since it is smaller than the sum of its proper divisors (16295821880).

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

10517845000 is a wasteful number, since it uses less digits than its factorization.

10517845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

It can be divided in two parts, 1051784 and 5000, that added together give a square (1056784 = 1028²).

The spelling of 10517845000 in words is "ten billion, five hundred seventeen million, eight hundred forty-five thousand".