10285954560 has 480 divisors, whose sum is σ = 42515716320. Its totient is φ = 2350301184.

The previous prime is 10285954543. The next prime is 10285954573. The reversal of 10285954560 is 6545958201.

10285954560 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 595 + 4 + 56 + 0 = 666.

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

It is a super-2 number, since 2×10285954560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385362 + ... + 3388398.

It is an arithmetic number, because the mean of its divisors is an integer number (88574409).

Almost surely, 2^10285954560 is an apocalyptic number.

10285954560 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 10285954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257858160).

10285954560 is an abundant number, since it is smaller than the sum of its proper divisors (32229761760).

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

10285954560 is an equidigital number, since it uses as much as digits as its factorization.

10285954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10285954560 in words is "ten billion, two hundred eighty-five million, nine hundred fifty-four thousand, five hundred sixty".