20100546166140 has 168 divisors, whose sum is σ = 69041203117488. Its totient is φ = 4872859637760.

The previous prime is 20100546166087. The next prime is 20100546166157. The reversal of 20100546166140 is 4166164500102.

20100546166140 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 546 + 16 + 61 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20100546166095 and 20100546166104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 62504997 + ... + 62825756.

It is an arithmetic number, because the mean of its divisors is an integer number (410959542366).

Almost surely, 2^{20100546166140} is an apocalyptic number.

20100546166140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100546166140 is an abundant number, since it is smaller than the sum of its proper divisors (48940656951348).

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

20100546166140 is a wasteful number, since it uses less digits than its factorization.

20100546166140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125330791 (or 125330774 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20100546166140 in words is "twenty trillion, one hundred billion, five hundred forty-six million, one hundred sixty-six thousand, one hundred forty".