10285056000 has 640 divisors, whose sum is σ = 39585237120. Its totient is φ = 2654208000.

The previous prime is 10285055993. The next prime is 10285056037. The reversal of 10285056000 is 65058201.

10285056000 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 50 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 39 ways as a sum of consecutive naturals, for example, 331775985 + ... + 331776015.

It is an arithmetic number, because the mean of its divisors is an integer number (61851933).

Almost surely, 2^10285056000 is an apocalyptic number.

10285056000 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 10285056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792618560).

10285056000 is an abundant number, since it is smaller than the sum of its proper divisors (29300181120).

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

10285056000 is an frugal number, since it uses more digits than its factorization.

10285056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10285056000 in words is "ten billion, two hundred eighty-five million, fifty-six thousand".