10778914944 has 400 divisors, whose sum is σ = 37508387070. Its totient is φ = 3072577536.

The previous prime is 10778914931. The next prime is 10778914969. The reversal of 10778914944 is 44941987701.

10778914944 is a `hidden beast` number, since 1 + 0 + 77 + 89 + 1 + 494 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10467745344 + 311169600 = 102312^2 + 17640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 24893352 + ... + 24893784.

Almost surely, 2^10778914944 is an apocalyptic number.

10778914944 is a gapful number since it is divisible by the number (14) 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 10778914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754193535).

10778914944 is an abundant number, since it is smaller than the sum of its proper divisors (26729472126).

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

10778914944 is an frugal number, since it uses more digits than its factorization.

10778914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10778914944 in words is "ten billion, seven hundred seventy-eight million, nine hundred fourteen thousand, nine hundred forty-four".