10466642160 has 240 divisors, whose sum is σ = 38205367200. Its totient is φ = 2552518656.

The previous prime is 10466642099. The next prime is 10466642167. The reversal of 10466642160 is 6124666401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466642167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015111 + ... + 1025369.

It is an arithmetic number, because the mean of its divisors is an integer number (159189030).

Almost surely, 2^10466642160 is an apocalyptic number.

10466642160 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 10466642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102683600).

10466642160 is an abundant number, since it is smaller than the sum of its proper divisors (27738725040).

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

10466642160 is a wasteful number, since it uses less digits than its factorization.

10466642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10466642160 in words is "ten billion, four hundred sixty-six million, six hundred forty-two thousand, one hundred sixty".