10002006294784 has 144 divisors (see below), whose sum is σ = 24021127244800. Its totient is φ = 4060432115712.

The previous prime is 10002006294773. The next prime is 10002006294821. The reversal of 10002006294784 is 48749260020001.

It is a self number, because there is not a number n which added to its sum of digits gives 10002006294784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356093989 + ... + 356122075.

Almost surely, 2^{10002006294784} is an apocalyptic number.

10002006294784 is a gapful number since it is divisible by the number (14) 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 10002006294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010563622400).

10002006294784 is an abundant number, since it is smaller than the sum of its proper divisors (14019120950016).

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

10002006294784 is a wasteful number, since it uses less digits than its factorization.

10002006294784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38588 (or 38574 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10002006294784 in words is "ten trillion, two billion, six million, two hundred ninety-four thousand, seven hundred eighty-four".