10994628960 has 480 divisors, whose sum is σ = 46960119360. Its totient is φ = 2364899328.

The previous prime is 10994628917. The next prime is 10994628971. The reversal of 10994628960 is 6982649901.

10994628960 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 628 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10994628897 and 10994628906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538676 + ... + 1545804.

It is an arithmetic number, because the mean of its divisors is an integer number (97833582).

Almost surely, 2^10994628960 is an apocalyptic number.

10994628960 is a gapful number since it is divisible by the number (10) 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 10994628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23480059680).

10994628960 is an abundant number, since it is smaller than the sum of its proper divisors (35965490400).

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

10994628960 is a wasteful number, since it uses less digits than its factorization.

10994628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10994628960 in words is "ten billion, nine hundred ninety-four million, six hundred twenty-eight thousand, nine hundred sixty".