10934001360 has 240 divisors, whose sum is σ = 37850733648. Its totient is φ = 2826854400.

The previous prime is 10934001317. The next prime is 10934001361. The reversal of 10934001360 is 6310043901.

It can be written as a sum of positive squares in 8 ways, for example, as 318408336 + 10615593024 = 17844^2 + 103032^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934001361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5105890 + ... + 5108030.

Almost surely, 2^10934001360 is an apocalyptic number.

10934001360 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 10934001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925366824).

10934001360 is an abundant number, since it is smaller than the sum of its proper divisors (26916732288).

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

10934001360 is a wasteful number, since it uses less digits than its factorization.

10934001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10934001360 in words is "ten billion, nine hundred thirty-four million, one thousand, three hundred sixty".