164553687041600 has 336 divisors, whose sum is σ = 428742625977600. Its totient is φ = 62054361169920.

The previous prime is 164553687041593. The next prime is 164553687041603. The reversal of 164553687041600 is 6140786355461.

It is not an unprimeable number, because it can be changed into a prime (164553687041603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7436099336 + ... + 7436121464.

Almost surely, 2^{164553687041600} is an apocalyptic number.

164553687041600 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 164553687041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214371312988800).

164553687041600 is an abundant number, since it is smaller than the sum of its proper divisors (264188938936000).

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

164553687041600 is a wasteful number, since it uses less digits than its factorization.

164553687041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25950 (or 25935 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 164553687041600 in words is "one hundred sixty-four trillion, five hundred fifty-three billion, six hundred eighty-seven million, forty-one thousand, six hundred".