10285017600 has 480 divisors, whose sum is σ = 39937068864. Its totient is φ = 2300313600.

The previous prime is 10285017599. The next prime is 10285017641. The reversal of 10285017600 is 671058201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5490264 + ... + 5492136.

Almost surely, 2^10285017600 is an apocalyptic number.

10285017600 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 10285017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968534432).

10285017600 is an abundant number, since it is smaller than the sum of its proper divisors (29652051264).

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

10285017600 is a wasteful number, since it uses less digits than its factorization.

10285017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 10285017600 in words is "ten billion, two hundred eighty-five million, seventeen thousand, six hundred".