10944725616 has 320 divisors, whose sum is σ = 35283456000. Its totient is φ = 3220197120.

The previous prime is 10944725573. The next prime is 10944725699. The reversal of 10944725616 is 61652744901.

10944725616 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 4 + 7 + 25 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28877715 + ... + 28878093.

It is an arithmetic number, because the mean of its divisors is an integer number (110260800).

Almost surely, 2^10944725616 is an apocalyptic number.

10944725616 is a gapful number since it is divisible by the number (16) 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 10944725616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728000).

10944725616 is an abundant number, since it is smaller than the sum of its proper divisors (24338730384).

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

10944725616 is a wasteful number, since it uses less digits than its factorization.

10944725616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10944725616 in words is "ten billion, nine hundred forty-four million, seven hundred twenty-five thousand, six hundred sixteen".