166196045953800 has 384 divisors, whose sum is σ = 574435719177600. Its totient is φ = 44165525114880.

The previous prime is 166196045953789. The next prime is 166196045953829. The reversal of 166196045953800 is 8359540691661.

166196045953800 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 9 + 6 + 0 + 4 + 595 + 38 + 0 + 0 = 666.

It is a super-2 number, since 2×166196045953800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7617720492 + ... + 7617742308.

It is an arithmetic number, because the mean of its divisors is an integer number (1495926352025).

Almost surely, 2^{166196045953800} is an apocalyptic number.

166196045953800 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 166196045953800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287217859588800).

166196045953800 is an abundant number, since it is smaller than the sum of its proper divisors (408239673223800).

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

166196045953800 is a wasteful number, since it uses less digits than its factorization.

166196045953800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662 (or 26647 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 166196045953800 in words is "one hundred sixty-six trillion, one hundred ninety-six billion, forty-five million, nine hundred fifty-three thousand, eight hundred".