166295420928 has 1080 divisors, whose sum is σ = 650079454752. Its totient is φ = 41278242816.

The previous prime is 166295420897. The next prime is 166295421011. The reversal of 166295420928 is 829024592661.

166295420928 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 9 + 542 + 0 + 92 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9782083576 + ... + 9782083592.

Almost surely, 2^166295420928 is an apocalyptic number.

166295420928 is a gapful number since it is divisible by the number (18) 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 166295420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325039727376).

166295420928 is an abundant number, since it is smaller than the sum of its proper divisors (483784033824).

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

166295420928 is an frugal number, since it uses more digits than its factorization.

166295420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 166295420928 in words is "one hundred sixty-six billion, two hundred ninety-five million, four hundred twenty thousand, nine hundred twenty-eight".