10160460800 has 396 divisors, whose sum is σ = 30246144480. Its totient is φ = 3314073600.

The previous prime is 10160460787. The next prime is 10160460803. The reversal of 10160460800 is 806406101.

It is a self number, because there is not a number n which added to its sum of digits gives 10160460800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160460803) 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 35 ways as a sum of consecutive naturals, for example, 172211171 + ... + 172211229.

Almost surely, 2^10160460800 is an apocalyptic number.

10160460800 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 10160460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123072240).

10160460800 is an abundant number, since it is smaller than the sum of its proper divisors (20085683680).

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

10160460800 is an equidigital number, since it uses as much as digits as its factorization.

10160460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10160460800 its reverse (806406101), we get a palindrome (10966866901).

The spelling of 10160460800 in words is "ten billion, one hundred sixty million, four hundred sixty thousand, eight hundred".