10284665400 has 288 divisors, whose sum is σ = 35921808000. Its totient is φ = 2634163200.

The previous prime is 10284665381. The next prime is 10284665429. The reversal of 10284665400 is 456648201.

10284665400 is a `hidden beast` number, since 102 + 8 + 4 + 6 + 6 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 8313582 + ... + 8314818.

It is an arithmetic number, because the mean of its divisors is an integer number (124728500).

Almost surely, 2^10284665400 is an apocalyptic number.

10284665400 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 10284665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960904000).

10284665400 is an abundant number, since it is smaller than the sum of its proper divisors (25637142600).

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

10284665400 is a wasteful number, since it uses less digits than its factorization.

10284665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 10284 and 665400, that added together give a square (675684 = 822²).

The spelling of 10284665400 in words is "ten billion, two hundred eighty-four million, six hundred sixty-five thousand, four hundred".