164212058880 has 108 divisors (see below), whose sum is σ = 568156658160. Its totient is φ = 43789879296.

The previous prime is 164212058851. The next prime is 164212058887. The reversal of 164212058880 is 88850212461.

164212058880 is a `hidden beast` number, since 1 + 6 + 42 + 1 + 20 + 588 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164212058887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7115740 + ... + 7138779.

Almost surely, 2^164212058880 is an apocalyptic number.

164212058880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164212058880 is an abundant number, since it is smaller than the sum of its proper divisors (403944599280).

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

164212058880 is a wasteful number, since it uses less digits than its factorization.

164212058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254546 (or 14254529 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 164212058880 in words is "one hundred sixty-four billion, two hundred twelve million, fifty-eight thousand, eight hundred eighty".