10564170000 has 200 divisors, whose sum is σ = 34226993856. Its totient is φ = 2806848000.

The previous prime is 10564169981. The next prime is 10564170047. The reversal of 10564170000 is 7146501.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10564170000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11909557 + ... + 11910443.

Almost surely, 2^10564170000 is an apocalyptic number.

10564170000 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 10564170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113496928).

10564170000 is an abundant number, since it is smaller than the sum of its proper divisors (23662823856).

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

10564170000 is an equidigital number, since it uses as much as digits as its factorization.

10564170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10564170000 in words is "ten billion, five hundred sixty-four million, one hundred seventy thousand".