10166661600 has 72 divisors (see below), whose sum is σ = 33092491320. Its totient is φ = 2711109120.

The previous prime is 10166661599. The next prime is 10166661619. The reversal of 10166661600 is 616666101.

It is a super-2 number, since 2×10166661600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2115655 + ... + 2120454.

It is an arithmetic number, because the mean of its divisors is an integer number (459617935).

Almost surely, 2^10166661600 is an apocalyptic number.

10166661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166661600 is an abundant number, since it is smaller than the sum of its proper divisors (22925829720).

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

10166661600 is a wasteful number, since it uses less digits than its factorization.

10166661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236132 (or 4236119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10166661600 in words is "ten billion, one hundred sixty-six million, six hundred sixty-one thousand, six hundred".