166006306400 has 144 divisors (see below), whose sum is σ = 443507082480. Its totient is φ = 60174489600.

The previous prime is 166006306391. The next prime is 166006306409. The reversal of 166006306400 is 4603600661.

It is an interprime number because it is at equal distance from previous prime (166006306391) and next prime (166006306409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166006306409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759846 + ... + 2819354.

It is an arithmetic number, because the mean of its divisors is an integer number (3079910295).

Almost surely, 2^166006306400 is an apocalyptic number.

166006306400 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 166006306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221753541240).

166006306400 is an abundant number, since it is smaller than the sum of its proper divisors (277500776080).

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

166006306400 is a wasteful number, since it uses less digits than its factorization.

166006306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59857 (or 59844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 166006306400 in words is "one hundred sixty-six billion, six million, three hundred six thousand, four hundred".