10993351104 has 336 divisors, whose sum is σ = 35440973568. Its totient is φ = 3365203968.

The previous prime is 10993351073. The next prime is 10993351129. The reversal of 10993351104 is 40115339901.

10993351104 is a `hidden beast` number, since 109 + 9 + 33 + 511 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11368029 + ... + 11368995.

It is an arithmetic number, because the mean of its divisors is an integer number (105479088).

Almost surely, 2^10993351104 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 10993351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720486784).

10993351104 is an abundant number, since it is smaller than the sum of its proper divisors (24447622464).

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

10993351104 is an equidigital number, since it uses as much as digits as its factorization.

10993351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 10993351104 in words is "ten billion, nine hundred ninety-three million, three hundred fifty-one thousand, one hundred four".