10482610320 has 720 divisors, whose sum is σ = 45084828672. Its totient is φ = 2134978560.

The previous prime is 10482610291. The next prime is 10482610337. The reversal of 10482610320 is 2301628401.

10482610320 is a `hidden beast` number, since 1 + 0 + 48 + 2 + 610 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26404362 + ... + 26404758.

Almost surely, 2^10482610320 is an apocalyptic number.

10482610320 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 10482610320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22542414336).

10482610320 is an abundant number, since it is smaller than the sum of its proper divisors (34602218352).

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

10482610320 is a wasteful number, since it uses less digits than its factorization.

10482610320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10482610320 in words is "ten billion, four hundred eighty-two million, six hundred ten thousand, three hundred twenty".