10248381360 has 480 divisors, whose sum is σ = 42189174720. Its totient is φ = 2278305792.

The previous prime is 10248381347. The next prime is 10248381373. The reversal of 10248381360 is 6318384201.

10248381360 is a `hidden beast` number, since 1 + 0 + 248 + 381 + 36 + 0 = 666.

10248381360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10248381347) and next prime (10248381373).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3914772 + ... + 3917388.

It is an arithmetic number, because the mean of its divisors is an integer number (87894114).

Almost surely, 2^10248381360 is an apocalyptic number.

10248381360 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 10248381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094587360).

10248381360 is an abundant number, since it is smaller than the sum of its proper divisors (31940793360).

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

10248381360 is a wasteful number, since it uses less digits than its factorization.

10248381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10248381360 in words is "ten billion, two hundred forty-eight million, three hundred eighty-one thousand, three hundred sixty".