10754979295368 has 256 divisors, whose sum is σ = 35787247165440. Its totient is φ = 2629176591360.

The previous prime is 10754979295279. The next prime is 10754979295387. The reversal of 10754979295368 is 86359297945701.

It is a self number, because there is not a number n which added to its sum of digits gives 10754979295368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386705 + ... + 5215967.

It is an arithmetic number, because the mean of its divisors is an integer number (139793934240).

It is a 1-persistent number, because it is pandigital, but 2⋅10754979295368 = 21509958590736 is not.

Almost surely, 2^{10754979295368} 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 10754979295368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893623582720).

10754979295368 is an abundant number, since it is smaller than the sum of its proper divisors (25032267870072).

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

10754979295368 is a wasteful number, since it uses less digits than its factorization.

10754979295368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829329 (or 2829303 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 10754979295368 in words is "ten trillion, seven hundred fifty-four billion, nine hundred seventy-nine million, two hundred ninety-five thousand, three hundred sixty-eight".