10161160169160 has 2048 divisors, whose sum is σ = 44339871744000. Its totient is φ = 1793381990400.

The previous prime is 10161160169159. The next prime is 10161160169161. The reversal of 10161160169160 is 6196106116101.

It is an interprime number because it is at equal distance from previous prime (10161160169159) and next prime (10161160169161).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10161160169161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11829056811 + ... + 11829057669.

It is an arithmetic number, because the mean of its divisors is an integer number (21650328000).

Almost surely, 2^{10161160169160} is an apocalyptic number.

10161160169160 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 10161160169160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169935872000).

10161160169160 is an abundant number, since it is smaller than the sum of its proper divisors (34178711574840).

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

10161160169160 is a wasteful number, since it uses less digits than its factorization.

10161160169160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 10161160169160 in words is "ten trillion, one hundred sixty-one billion, one hundred sixty million, one hundred sixty-nine thousand, one hundred sixty".