10305004011360 has 96 divisors (see below), whose sum is σ = 32606326932480. Its totient is φ = 2735678166528.

The previous prime is 10305004011343. The next prime is 10305004011443. The reversal of 10305004011360 is 6311040050301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10305004011360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48029190 + ... + 48243269.

It is an arithmetic number, because the mean of its divisors is an integer number (339649238880).

Almost surely, 2^{10305004011360} is an apocalyptic number.

10305004011360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305004011360 is an abundant number, since it is smaller than the sum of its proper divisors (22301322921120).

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

10305004011360 is a wasteful number, since it uses less digits than its factorization.

10305004011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96272700 (or 96272692 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10305004011360 its reverse (6311040050301), we get a palindrome (16616044061661).

The spelling of 10305004011360 in words is "ten trillion, three hundred five billion, four million, eleven thousand, three hundred sixty".