164587852800 has 2640 divisors, whose sum is σ = 796085832960. Its totient is φ = 32699842560.

The previous prime is 164587852799. The next prime is 164587852841. The reversal of 164587852800 is 8258785461.

164587852800 is a `hidden beast` number, since 1 + 6 + 4 + 587 + 8 + 52 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×164587852800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5675443186 + ... + 5675443214.

It is an arithmetic number, because the mean of its divisors is an integer number (301547664).

Almost surely, 2^164587852800 is an apocalyptic number.

164587852800 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 164587852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398042916480).

164587852800 is an abundant number, since it is smaller than the sum of its proper divisors (631497980160).

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

164587852800 is a wasteful number, since it uses less digits than its factorization.

164587852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 164587852800 in words is "one hundred sixty-four billion, five hundred eighty-seven million, eight hundred fifty-two thousand, eight hundred".