10993134816 has 72 divisors (see below), whose sum is σ = 31271988384. Its totient is φ = 3663175680.

The previous prime is 10993134793. The next prime is 10993134851. The reversal of 10993134816 is 61843139901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1502880 + ... + 1510176.

It is an arithmetic number, because the mean of its divisors is an integer number (434333172).

Almost surely, 2^10993134816 is an apocalyptic number.

10993134816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10993134816 is an abundant number, since it is smaller than the sum of its proper divisors (20278853568).

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

10993134816 is a wasteful number, since it uses less digits than its factorization.

10993134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10993134816 in words is "ten billion, nine hundred ninety-three million, one hundred thirty-four thousand, eight hundred sixteen".