10482903360 has 252 divisors, whose sum is σ = 37449216948. Its totient is φ = 2794881024.

The previous prime is 10482903349. The next prime is 10482903371. The reversal of 10482903360 is 6330928401.

10482903360 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 290 + 3 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (10482903349) and next prime (10482903371).

It can be written as a sum of positive squares in 2 ways, for example, as 3710271744 + 6772631616 = 60912^2 + 82296^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 2097024 + ... + 2102016.

Almost surely, 2^10482903360 is an apocalyptic number.

10482903360 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 10482903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608474).

10482903360 is an abundant number, since it is smaller than the sum of its proper divisors (26966313588).

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

10482903360 is an frugal number, since it uses more digits than its factorization.

10482903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10482903360 in words is "ten billion, four hundred eighty-two million, nine hundred three thousand, three hundred sixty".