166104241920 has 576 divisors, whose sum is σ = 645699600000. Its totient is φ = 40247230464.

The previous prime is 166104241913. The next prime is 166104241957. The reversal of 166104241920 is 29142401661.

166104241920 is a `hidden beast` number, since 1 + 6 + 610 + 4 + 2 + 4 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17033206 + ... + 17042954.

It is an arithmetic number, because the mean of its divisors is an integer number (1121006250).

Almost surely, 2^166104241920 is an apocalyptic number.

166104241920 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 166104241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322849800000).

166104241920 is an abundant number, since it is smaller than the sum of its proper divisors (479595358080).

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

166104241920 is a wasteful number, since it uses less digits than its factorization.

166104241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 166104241920 in words is "one hundred sixty-six billion, one hundred four million, two hundred forty-one thousand, nine hundred twenty".