164889675475200 has 864 divisors, whose sum is σ = 657857619417600. Its totient is φ = 40169739386880.

The previous prime is 164889675475043. The next prime is 164889675475211. The reversal of 164889675475200 is 2574576988461.

164889675475200 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 8 + 96 + 7 + 5 + 4 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217522441 + ... + 218279159.

Almost surely, 2^{164889675475200} is an apocalyptic number.

164889675475200 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 164889675475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328928809708800).

164889675475200 is an abundant number, since it is smaller than the sum of its proper divisors (492967943942400).

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

164889675475200 is a wasteful number, since it uses less digits than its factorization.

164889675475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756864 (or 756839 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 164889675475200 in words is "one hundred sixty-four trillion, eight hundred eighty-nine billion, six hundred seventy-five million, four hundred seventy-five thousand, two hundred".