164821230362880 has 2592 divisors, whose sum is σ = 760590462288384. Its totient is φ = 33259944148992.

The previous prime is 164821230362851. The next prime is 164821230362917. The reversal of 164821230362880 is 88263032128461.

164821230362880 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 2 + 1 + 2 + 3 + 0 + 3 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17577176752 + ... + 17577186128.

It is an arithmetic number, because the mean of its divisors is an integer number (293437678352).

Almost surely, 2^{164821230362880} is an apocalyptic number.

164821230362880 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 164821230362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380295231144192).

164821230362880 is an abundant number, since it is smaller than the sum of its proper divisors (595769231925504).

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

164821230362880 is an frugal number, since it uses more digits than its factorization.

164821230362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 164821230362880 in words is "one hundred sixty-four trillion, eight hundred twenty-one billion, two hundred thirty million, three hundred sixty-two thousand, eight hundred eighty".