166264108920 has 672 divisors, whose sum is σ = 702725375520. Its totient is φ = 35075980800.

The previous prime is 166264108919. The next prime is 166264108921. The reversal of 166264108920 is 29801462661.

166264108920 is a `hidden beast` number, since 1 + 6 + 626 + 4 + 10 + 8 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166264108919) and next prime (166264108921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166264108921) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18570445 + ... + 18579395.

It is an arithmetic number, because the mean of its divisors is an integer number (1045722285).

Almost surely, 2^166264108920 is an apocalyptic number.

166264108920 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 166264108920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351362687760).

166264108920 is an abundant number, since it is smaller than the sum of its proper divisors (536461266600).

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

166264108920 is a wasteful number, since it uses less digits than its factorization.

166264108920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 166264108920 in words is "one hundred sixty-six billion, two hundred sixty-four million, one hundred eight thousand, nine hundred twenty".