164815499520 has 576 divisors, whose sum is σ = 686521059840. Its totient is φ = 36651958272.

The previous prime is 164815499479. The next prime is 164815499539. The reversal of 164815499520 is 25994518461.

164815499520 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 549 + 95 + 2 + 0 = 666.

164815499520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8941834 + ... + 8960246.

It is an arithmetic number, because the mean of its divisors is an integer number (1191876840).

Almost surely, 2^164815499520 is an apocalyptic number.

164815499520 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 164815499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343260529920).

164815499520 is an abundant number, since it is smaller than the sum of its proper divisors (521705560320).

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

164815499520 is a wasteful number, since it uses less digits than its factorization.

164815499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18487 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 164815499520 in words is "one hundred sixty-four billion, eight hundred fifteen million, four hundred ninety-nine thousand, five hundred twenty".