10007782988 has 48 divisors (see below), whose sum is σ = 20520428544. Its totient is φ = 4181036160.

The previous prime is 10007782973. The next prime is 10007783011. The reversal of 10007782988 is 88928770001.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1814531 + ... + 1820037.

It is an arithmetic number, because the mean of its divisors is an integer number (427508928).

Almost surely, 2^10007782988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007782988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260214272).

10007782988 is an abundant number, since it is smaller than the sum of its proper divisors (10512645556).

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

10007782988 is a wasteful number, since it uses less digits than its factorization.

10007782988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The spelling of 10007782988 in words is "ten billion, seven million, seven hundred eighty-two thousand, nine hundred eighty-eight".