164215536160 has 192 divisors, whose sum is σ = 450035066880. Its totient is φ = 56125808640.

The previous prime is 164215536143. The next prime is 164215536161. The reversal of 164215536160 is 61635512461.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (164215536161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1427676 + ... + 1538404.

It is an arithmetic number, because the mean of its divisors is an integer number (2343932640).

Almost surely, 2^164215536160 is an apocalyptic number.

164215536160 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 164215536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225017533440).

164215536160 is an abundant number, since it is smaller than the sum of its proper divisors (285819530720).

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

164215536160 is a wasteful number, since it uses less digits than its factorization.

164215536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110811 (or 110803 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 164215536160 in words is "one hundred sixty-four billion, two hundred fifteen million, five hundred thirty-six thousand, one hundred sixty".