10944157959360 has 448 divisors, whose sum is σ = 39050683392000. Its totient is φ = 2885210025984.

The previous prime is 10944157959341. The next prime is 10944157959377. The reversal of 10944157959360 is 6395975144901.

10944157959360 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 4 + 1 + 579 + 59 + 3 + 6 + 0 = 666.

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, 269919249 + ... + 269959791.

It is an arithmetic number, because the mean of its divisors is an integer number (87166704000).

Almost surely, 2^{10944157959360} is an apocalyptic number.

10944157959360 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 10944157959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525341696000).

10944157959360 is an abundant number, since it is smaller than the sum of its proper divisors (28106525432640).

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

10944157959360 is a wasteful number, since it uses less digits than its factorization.

10944157959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40925 (or 40909 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 10944157959360 in words is "ten trillion, nine hundred forty-four billion, one hundred fifty-seven million, nine hundred fifty-nine thousand, three hundred sixty".