166475400120 has 256 divisors, whose sum is σ = 566980675200. Its totient is φ = 43436113920.

The previous prime is 166475400101. The next prime is 166475400137. The reversal of 166475400120 is 21004574661.

166475400120 is a `hidden beast` number, since 1 + 6 + 64 + 75 + 400 + 120 = 666.

It is a super-2 number, since 2×166475400120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12708294 + ... + 12721386.

Almost surely, 2^166475400120 is an apocalyptic number.

166475400120 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 166475400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283490337600).

166475400120 is an abundant number, since it is smaller than the sum of its proper divisors (400505275080).

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

166475400120 is a wasteful number, since it uses less digits than its factorization.

166475400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 166475400120 its reverse (21004574661), we get a palindrome (187479974781).

The spelling of 166475400120 in words is "one hundred sixty-six billion, four hundred seventy-five million, four hundred thousand, one hundred twenty".