10968372054528 has 320 divisors, whose sum is σ = 35184988016640. Its totient is φ = 2966130081792.

The previous prime is 10968372054527. The next prime is 10968372054559. The reversal of 10968372054528 is 82545027386901.

It is not an unprimeable number, because it can be changed into a prime (10968372054527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225305326 + ... + 225354002.

It is an arithmetic number, because the mean of its divisors is an integer number (109953087552).

It is a 1-persistent number, because it is pandigital, but 2⋅10968372054528 = 21936744109056 is not.

Almost surely, 2^{10968372054528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10968372054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592494008320).

10968372054528 is an abundant number, since it is smaller than the sum of its proper divisors (24216615962112).

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

10968372054528 is a wasteful number, since it uses less digits than its factorization.

10968372054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49827 (or 49811 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 10968372054528 in words is "ten trillion, nine hundred sixty-eight billion, three hundred seventy-two million, fifty-four thousand, five hundred twenty-eight".