163953939016560 has 960 divisors, whose sum is σ = 648413950279680. Its totient is φ = 33887642664960.

The previous prime is 163953939016459. The next prime is 163953939016579. The reversal of 163953939016560 is 65610939359361.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 163953939016491 and 163953939016500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38550183394 + ... + 38550187646.

It is an arithmetic number, because the mean of its divisors is an integer number (675431198208).

Almost surely, 2^{163953939016560} is an apocalyptic number.

163953939016560 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 163953939016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324206975139840).

163953939016560 is an abundant number, since it is smaller than the sum of its proper divisors (484460011263120).

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

163953939016560 is a wasteful number, since it uses less digits than its factorization.

163953939016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 106288200, while the sum is 66.

The spelling of 163953939016560 in words is "one hundred sixty-three trillion, nine hundred fifty-three billion, nine hundred thirty-nine million, sixteen thousand, five hundred sixty".