10432604160 has 576 divisors, whose sum is σ = 40567625280. Its totient is φ = 2457600000.

The previous prime is 10432604137. The next prime is 10432604167. The reversal of 10432604160 is 6140623401.

10432604160 is a `hidden beast` number, since 1 + 0 + 43 + 2 + 604 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (10432604167) 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, 41564035 + ... + 41564285.

It is an arithmetic number, because the mean of its divisors is an integer number (70429905).

Almost surely, 2^10432604160 is an apocalyptic number.

10432604160 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 10432604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283812640).

10432604160 is an abundant number, since it is smaller than the sum of its proper divisors (30135021120).

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

10432604160 is a wasteful number, since it uses less digits than its factorization.

10432604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10432604160 in words is "ten billion, four hundred thirty-two million, six hundred four thousand, one hundred sixty".