163882776960 has 1152 divisors, whose sum is σ = 698511340800. Its totient is φ = 35965181952.

The previous prime is 163882776929. The next prime is 163882776979. The reversal of 163882776960 is 69677288361.

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

It is a super-2 number, since 2×163882776960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 915546151 + ... + 915546329.

It is an arithmetic number, because the mean of its divisors is an integer number (606346650).

Almost surely, 2^163882776960 is an apocalyptic number.

163882776960 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 163882776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349255670400).

163882776960 is an abundant number, since it is smaller than the sum of its proper divisors (534628563840).

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

163882776960 is an equidigital number, since it uses as much as digits as its factorization.

163882776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 163882776960 in words is "one hundred sixty-three billion, eight hundred eighty-two million, seven hundred seventy-six thousand, nine hundred sixty".