166084377994080 has 3024 divisors, whose sum is σ = 778038507555120. Its totient is φ = 33197663987712.

The previous prime is 166084377994033. The next prime is 166084377994097. The reversal of 166084377994080 is 80499773480661.

166084377994080 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 8 + 437 + 79 + 9 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×166084377994080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 8741283052311 + ... + 8741283052329.

It is an arithmetic number, because the mean of its divisors is an integer number (257287866255).

Almost surely, 2^{166084377994080} is an apocalyptic number.

166084377994080 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 166084377994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389019253777560).

166084377994080 is an abundant number, since it is smaller than the sum of its proper divisors (611954129561040).

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

166084377994080 is an frugal number, since it uses more digits than its factorization.

166084377994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 166084377994080 in words is "one hundred sixty-six trillion, eighty-four billion, three hundred seventy-seven million, nine hundred ninety-four thousand, eighty".