10284313600 has 264 divisors, whose sum is σ = 28327204800. Its totient is φ = 3670425600.

The previous prime is 10284313561. The next prime is 10284313621. The reversal of 10284313600 is 631348201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16614091 + ... + 16614709.

Almost surely, 2^10284313600 is an apocalyptic number.

10284313600 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 10284313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163602400).

10284313600 is an abundant number, since it is smaller than the sum of its proper divisors (18042891200).

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

10284313600 is a wasteful number, since it uses less digits than its factorization.

10284313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10284313600 in words is "ten billion, two hundred eighty-four million, three hundred thirteen thousand, six hundred".