166087932192 has 768 divisors, whose sum is σ = 623619440640. Its totient is φ = 41828659200.

The previous prime is 166087932191. The next prime is 166087932253. The reversal of 166087932192 is 291239780661.

166087932192 is a `hidden beast` number, since 1 + 6 + 608 + 7 + 9 + 3 + 21 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (166087932191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202299142 + ... + 202299962.

It is an arithmetic number, because the mean of its divisors is an integer number (812004480).

Almost surely, 2^166087932192 is an apocalyptic number.

166087932192 is a gapful number since it is divisible by the number (12) 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 166087932192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311809720320).

166087932192 is an abundant number, since it is smaller than the sum of its proper divisors (457531508448).

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

166087932192 is a wasteful number, since it uses less digits than its factorization.

166087932192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 166087932192 in words is "one hundred sixty-six billion, eighty-seven million, nine hundred thirty-two thousand, one hundred ninety-two".