10423664160 has 576 divisors, whose sum is σ = 41786140032. Its totient is φ = 2164506624.

The previous prime is 10423664149. The next prime is 10423664171. The reversal of 10423664160 is 6146632401.

It is an interprime number because it is at equal distance from previous prime (10423664149) and next prime (10423664171).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22320247 + ... + 22320713.

It is an arithmetic number, because the mean of its divisors is an integer number (72545382).

Almost surely, 2^10423664160 is an apocalyptic number.

10423664160 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 10423664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20893070016).

10423664160 is an abundant number, since it is smaller than the sum of its proper divisors (31362475872).

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

10423664160 is a wasteful number, since it uses less digits than its factorization.

10423664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10423664160 in words is "ten billion, four hundred twenty-three million, six hundred sixty-four thousand, one hundred sixty".