163127522880 has 1008 divisors, whose sum is σ = 699211998576. Its totient is φ = 34681651200.

The previous prime is 163127522869. The next prime is 163127522893. The reversal of 163127522880 is 88225721361.

163127522880 is a `hidden beast` number, since 1 + 6 + 312 + 7 + 52 + 288 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10296566784 + 152830956096 = 101472^2 + 390936^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×163127522880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 232706530 + ... + 232707230.

It is an arithmetic number, because the mean of its divisors is an integer number (693662697).

Almost surely, 2^163127522880 is an apocalyptic number.

163127522880 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 163127522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349605999288).

163127522880 is an abundant number, since it is smaller than the sum of its proper divisors (536084475696).

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

163127522880 is a wasteful number, since it uses less digits than its factorization.

163127522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 163127522880 in words is "one hundred sixty-three billion, one hundred twenty-seven million, five hundred twenty-two thousand, eight hundred eighty".