10290967984 has 20 divisors (see below), whose sum is σ = 21751364520. Its totient is φ = 4677712640.

The previous prime is 10290967961. The next prime is 10290968011. The reversal of 10290967984 is 48976909201.

10290967984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29235529 + ... + 29235880.

It is an arithmetic number, because the mean of its divisors is an integer number (1087568226).

Almost surely, 2^10290967984 is an apocalyptic number.

It is an amenable number.

10290967984 is an abundant number, since it is smaller than the sum of its proper divisors (11460396536).

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

10290967984 is a wasteful number, since it uses less digits than its factorization.

10290967984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58471428 (or 58471422 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 10290967984 in words is "ten billion, two hundred ninety million, nine hundred sixty-seven thousand, nine hundred eighty-four".