164296552800 has 288 divisors, whose sum is σ = 559044218880. Its totient is φ = 41860915200.

The previous prime is 164296552781. The next prime is 164296552813. The reversal of 164296552800 is 8255692461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164296552800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5863624 + ... + 5891576.

It is an arithmetic number, because the mean of its divisors is an integer number (1941125760).

Almost surely, 2^164296552800 is an apocalyptic number.

164296552800 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 164296552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279522109440).

164296552800 is an abundant number, since it is smaller than the sum of its proper divisors (394747666080).

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

164296552800 is a wasteful number, since it uses less digits than its factorization.

164296552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086 (or 28073 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 164296552800 in words is "one hundred sixty-four billion, two hundred ninety-six million, five hundred fifty-two thousand, eight hundred".