10956372336 has 480 divisors, whose sum is σ = 39582466560. Its totient is φ = 2856840192.

The previous prime is 10956372331. The next prime is 10956372433. The reversal of 10956372336 is 63327365901.

10956372336 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 637 + 2 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10956372291 and 10956372300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956372331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61208695 + ... + 61208873.

It is an arithmetic number, because the mean of its divisors is an integer number (82463472).

Almost surely, 2^10956372336 is an apocalyptic number.

10956372336 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 10956372336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791233280).

10956372336 is an abundant number, since it is smaller than the sum of its proper divisors (28626094224).

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

10956372336 is a wasteful number, since it uses less digits than its factorization.

10956372336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 10956372336 in words is "ten billion, nine hundred fifty-six million, three hundred seventy-two thousand, three hundred thirty-six".