10163408016960 has 168 divisors, whose sum is σ = 38135878837056. Its totient is φ = 2463856481280.

The previous prime is 10163408016959. The next prime is 10163408016997. The reversal of 10163408016960 is 6961080436101.

10163408016960 is a `hidden beast` number, since 1 + 0 + 1 + 634 + 0 + 8 + 0 + 1 + 6 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160375644 + ... + 160439003.

It is an arithmetic number, because the mean of its divisors is an integer number (226999278792).

Almost surely, 2^{10163408016960} is an apocalyptic number.

10163408016960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10163408016960 is an abundant number, since it is smaller than the sum of its proper divisors (27972470820096).

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

10163408016960 is a wasteful number, since it uses less digits than its factorization.

10163408016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320814681 (or 320814668 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10163408016960 in words is "ten trillion, one hundred sixty-three billion, four hundred eight million, sixteen thousand, nine hundred sixty".