10778852448 has 432 divisors, whose sum is σ = 40186220256. Its totient is φ = 2674114560.

The previous prime is 10778852423. The next prime is 10778852453. The reversal of 10778852448 is 84425887701.

10778852448 is a `hidden beast` number, since 1 + 0 + 7 + 78 + 8 + 524 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10778852394 and 10778852403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5791038 + ... + 5792898.

It is an arithmetic number, because the mean of its divisors is an integer number (93023658).

Almost surely, 2^10778852448 is an apocalyptic number.

10778852448 is a gapful number since it is divisible by the number (18) 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 10778852448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093110128).

10778852448 is an abundant number, since it is smaller than the sum of its proper divisors (29407367808).

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

10778852448 is a wasteful number, since it uses less digits than its factorization.

10778852448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 10778852448 in words is "ten billion, seven hundred seventy-eight million, eight hundred fifty-two thousand, four hundred forty-eight".