166016505600 has 648 divisors, whose sum is σ = 685638272592. Its totient is φ = 37876531200.

The previous prime is 166016505517. The next prime is 166016505601. The reversal of 166016505600 is 6505610661.

It is a super-2 number, since 2×166016505600² (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 not an unprimeable number, because it can be changed into a prime (166016505601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10763494 + ... + 10778906.

It is an arithmetic number, because the mean of its divisors is an integer number (1058083754).

Almost surely, 2^166016505600 is an apocalyptic number.

166016505600 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 166016505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342819136296).

166016505600 is an abundant number, since it is smaller than the sum of its proper divisors (519621766992).

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

166016505600 is a wasteful number, since it uses less digits than its factorization.

166016505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 166016505600 in words is "one hundred sixty-six billion, sixteen million, five hundred five thousand, six hundred".