10185087360 has 128 divisors (see below), whose sum is σ = 37102867200. Its totient is φ = 2328016896.

The previous prime is 10185087323. The next prime is 10185087377. The reversal of 10185087360 is 6378058101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 365470 + ... + 392349.

It is an arithmetic number, because the mean of its divisors is an integer number (289866150).

Almost surely, 2^10185087360 is an apocalyptic number.

10185087360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10185087360 is an abundant number, since it is smaller than the sum of its proper divisors (26917779840).

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

10185087360 is an equidigital number, since it uses as much as digits as its factorization.

10185087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757848 (or 757836 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10185087360 in words is "ten billion, one hundred eighty-five million, eighty-seven thousand, three hundred sixty".