163526952960 has 1152 divisors, whose sum is σ = 688821719040. Its totient is φ = 35074473984.

The previous prime is 163526952929. The next prime is 163526952973. The reversal of 163526952960 is 69259625361.

It is a happy number.

163526952960 is a `hidden beast` number, since 1 + 6 + 3 + 52 + 6 + 9 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 163526952897 and 163526952906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528289227 + ... + 1528289333.

It is an arithmetic number, because the mean of its divisors is an integer number (597935520).

Almost surely, 2^163526952960 is an apocalyptic number.

163526952960 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 163526952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344410859520).

163526952960 is an abundant number, since it is smaller than the sum of its proper divisors (525294766080).

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

163526952960 is a wasteful number, since it uses less digits than its factorization.

163526952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 163526952960 in words is "one hundred sixty-three billion, five hundred twenty-six million, nine hundred fifty-two thousand, nine hundred sixty".