166010889623040 has 1920 divisors, whose sum is σ = 767346086707200. Its totient is φ = 33382703923200.

The previous prime is 166010889623039. The next prime is 166010889623041. The reversal of 166010889623040 is 40326988010661.

166010889623040 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 1 + 0 + 8 + 8 + 9 + 623 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166010889623039) and next prime (166010889623041).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166010889623041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1484849061 + ... + 1484960859.

It is an arithmetic number, because the mean of its divisors is an integer number (399659420160).

Almost surely, 2^{166010889623040} is an apocalyptic number.

166010889623040 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 166010889623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383673043353600).

166010889623040 is an abundant number, since it is smaller than the sum of its proper divisors (601335197084160).

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

166010889623040 is a wasteful number, since it uses less digits than its factorization.

166010889623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111886 (or 111858 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 166010889623040 in words is "one hundred sixty-six trillion, ten billion, eight hundred eighty-nine million, six hundred twenty-three thousand, forty".