10282023360 has 560 divisors, whose sum is σ = 42530938560. Its totient is φ = 2309160960.

The previous prime is 10282023343. The next prime is 10282023391. The reversal of 10282023360 is 6332028201.

10282023360 is a `hidden beast` number, since 1 + 0 + 282 + 0 + 23 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11067376 + ... + 11068304.

Almost surely, 2^10282023360 is an apocalyptic number.

10282023360 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 10282023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265469280).

10282023360 is an abundant number, since it is smaller than the sum of its proper divisors (32248915200).

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

10282023360 is an equidigital number, since it uses as much as digits as its factorization.

10282023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10282023360 in words is "ten billion, two hundred eighty-two million, twenty-three thousand, three hundred sixty".