164997260654800 has 240 divisors, whose sum is σ = 454498086153600. Its totient is φ = 56387949281280.

The previous prime is 164997260654687. The next prime is 164997260654801. The reversal of 164997260654800 is 8456062799461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164997260654801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2962380552 + ... + 2962436248.

It is an arithmetic number, because the mean of its divisors is an integer number (1893742025640).

Almost surely, 2^{164997260654800} is an apocalyptic number.

164997260654800 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 164997260654800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227249043076800).

164997260654800 is an abundant number, since it is smaller than the sum of its proper divisors (289500825498800).

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

164997260654800 is a wasteful number, since it uses less digits than its factorization.

164997260654800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59118 (or 59107 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 164997260654800 in words is "one hundred sixty-four trillion, nine hundred ninety-seven billion, two hundred sixty million, six hundred fifty-four thousand, eight hundred".