10284482992896 has 864 divisors, whose sum is σ = 35419923302400. Its totient is φ = 2808855429120.

The previous prime is 10284482992873. The next prime is 10284482992951. The reversal of 10284482992896 is 69829928448201.

10284482992896 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 448 + 2 + 9 + 92 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12681236331 + ... + 12681237141.

It is an arithmetic number, because the mean of its divisors is an integer number (40995281600).

Almost surely, 2^{10284482992896} is an apocalyptic number.

10284482992896 is a gapful number since it is divisible by the number (16) 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 10284482992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709961651200).

10284482992896 is an abundant number, since it is smaller than the sum of its proper divisors (25135440309504).

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

10284482992896 is a wasteful number, since it uses less digits than its factorization.

10284482992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 10284482992896 in words is "ten trillion, two hundred eighty-four billion, four hundred eighty-two million, nine hundred ninety-two thousand, eight hundred ninety-six".