10285284500352 has 1024 divisors, whose sum is σ = 33036327936000. Its totient is φ = 3181972045824.

The previous prime is 10285284500299. The next prime is 10285284500429. The reversal of 10285284500352 is 25300548258201.

10285284500352 is a `hidden beast` number, since 1 + 0 + 28 + 528 + 4 + 50 + 0 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10285284500298 and 10285284500307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37130990838 + ... + 37130991114.

It is an arithmetic number, because the mean of its divisors is an integer number (32262039000).

Almost surely, 2^{10285284500352} is an apocalyptic number.

10285284500352 is a gapful number since it is divisible by the number (12) 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 10285284500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518163968000).

10285284500352 is an abundant number, since it is smaller than the sum of its proper divisors (22751043435648).

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

10285284500352 is an frugal number, since it uses more digits than its factorization.

10285284500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

It can be divided in two parts, 102852 and 84500352, that added together give a square (84603204 = 9198²).

The spelling of 10285284500352 in words is "ten trillion, two hundred eighty-five billion, two hundred eighty-four million, five hundred thousand, three hundred fifty-two".