10166664000 has 224 divisors, whose sum is σ = 34288390656. Its totient is φ = 2653132800.

The previous prime is 10166663989. The next prime is 10166664029. The reversal of 10166664000 is 46666101.

It is a super-2 number, since 2×10166664000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123494 + ... + 1132506.

Almost surely, 2^10166664000 is an apocalyptic number.

10166664000 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 10166664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144195328).

10166664000 is an abundant number, since it is smaller than the sum of its proper divisors (24121726656).

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

10166664000 is an equidigital number, since it uses as much as digits as its factorization.

10166664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10166664000 in words is "ten billion, one hundred sixty-six million, six hundred sixty-four thousand".