164995089840 has 480 divisors, whose sum is σ = 671532840576. Its totient is φ = 35441049600.

The previous prime is 164995089821. The next prime is 164995089841. The reversal of 164995089840 is 48980599461.

164995089840 is a `hidden beast` number, since 1 + 6 + 49 + 9 + 508 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164995089841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86792890 + ... + 86794790.

Almost surely, 2^164995089840 is an apocalyptic number.

164995089840 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 164995089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335766420288).

164995089840 is an abundant number, since it is smaller than the sum of its proper divisors (506537750736).

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

164995089840 is a wasteful number, since it uses less digits than its factorization.

164995089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 164995089840 in words is "one hundred sixty-four billion, nine hundred ninety-five million, eighty-nine thousand, eight hundred forty".