163951954560 has 768 divisors, whose sum is σ = 621522720000. Its totient is φ = 39680409600.

The previous prime is 163951954513. The next prime is 163951954561. The reversal of 163951954560 is 65459159361.

163951954560 is a `hidden beast` number, since 1 + 6 + 3 + 95 + 1 + 9 + 545 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 163951954497 and 163951954506.

It is not an unprimeable number, because it can be changed into a prime (163951954561) 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 95 ways as a sum of consecutive naturals, for example, 273709141 + ... + 273709739.

It is an arithmetic number, because the mean of its divisors is an integer number (809274375).

Almost surely, 2^163951954560 is an apocalyptic number.

163951954560 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 163951954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310761360000).

163951954560 is an abundant number, since it is smaller than the sum of its proper divisors (457570765440).

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

163951954560 is a wasteful number, since it uses less digits than its factorization.

163951954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 163951954560 in words is "one hundred sixty-three billion, nine hundred fifty-one million, nine hundred fifty-four thousand, five hundred sixty".