10566501000 has 256 divisors, whose sum is σ = 36346302720. Its totient is φ = 2534400000.

The previous prime is 10566500999. The next prime is 10566501007. The reversal of 10566501000 is 10566501.

It is a super-2 number, since 2×10566501000² (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 not an unprimeable number, because it can be changed into a prime (10566501007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3199350 + ... + 3202650.

It is an arithmetic number, because the mean of its divisors is an integer number (141977745).

Almost surely, 2^10566501000 is an apocalyptic number.

10566501000 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 10566501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173151360).

10566501000 is an abundant number, since it is smaller than the sum of its proper divisors (25779801720).

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

10566501000 is a wasteful number, since it uses less digits than its factorization.

10566501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

10566501000 divided by its reverse (10566501) gives a cube (1000 = 10³).

It can be divided in two parts, 10566 and 501000, that added together give a triangular number (511566 = T₁₀₁₁).

The spelling of 10566501000 in words is "ten billion, five hundred sixty-six million, five hundred one thousand".