10285033200 has 240 divisors, whose sum is σ = 35572160736. Its totient is φ = 2525184000.

The previous prime is 10285033189. The next prime is 10285033249. The reversal of 10285033200 is 233058201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9375052 + ... + 9376148.

Almost surely, 2^10285033200 is an apocalyptic number.

10285033200 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 10285033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786080368).

10285033200 is an abundant number, since it is smaller than the sum of its proper divisors (25287127536).

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

10285033200 is a wasteful number, since it uses less digits than its factorization.

10285033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10285033200 in words is "ten billion, two hundred eighty-five million, thirty-three thousand, two hundred".