10166188113900 has 288 divisors, whose sum is σ = 40224508244480. Its totient is φ = 2144953923840.

The previous prime is 10166188113883. The next prime is 10166188113901. The reversal of 10166188113900 is 931188166101.

10166188113900 is a `hidden beast` number, since 1 + 0 + 16 + 618 + 8 + 1 + 13 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10166188113901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20442514 + ... + 20933913.

Almost surely, 2^{10166188113900} is an apocalyptic number.

10166188113900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166188113900 is an abundant number, since it is smaller than the sum of its proper divisors (30058320130580).

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

10166188113900 is a wasteful number, since it uses less digits than its factorization.

10166188113900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41376470 (or 41376457 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10166188113900 in words is "ten trillion, one hundred sixty-six billion, one hundred eighty-eight million, one hundred thirteen thousand, nine hundred".