10594160640 has 1248 divisors, whose sum is σ = 48406844160. Its totient is φ = 2179989504.

The previous prime is 10594160639. The next prime is 10594160641. The reversal of 10594160640 is 4606149501.

10594160640 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 4 + 1 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10594160639) and next prime (10594160641).

It is a super-2 number, since 2×10594160640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10594160595 and 10594160604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10594160641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460615669 + ... + 460615691.

Almost surely, 2^10594160640 is an apocalyptic number.

10594160640 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 10594160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203422080).

10594160640 is an abundant number, since it is smaller than the sum of its proper divisors (37812683520).

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

10594160640 is a wasteful number, since it uses less digits than its factorization.

10594160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10594160640 in words is "ten billion, five hundred ninety-four million, one hundred sixty thousand, six hundred forty".