10778318314200 has 1152 divisors, whose sum is σ = 40334338437120. Its totient is φ = 2668757414400.

The previous prime is 10778318314139. The next prime is 10778318314207. The reversal of 10778318314200 is 241381387701.

10778318314200 is a `hidden beast` number, since 1 + 0 + 77 + 83 + 1 + 83 + 1 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10778318314207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5317373587 + ... + 5317375613.

It is an arithmetic number, because the mean of its divisors is an integer number (35012446560).

Almost surely, 2^{10778318314200} is an apocalyptic number.

10778318314200 is a gapful number since it is divisible by the number (10) 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 10778318314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167169218560).

10778318314200 is an abundant number, since it is smaller than the sum of its proper divisors (29556020122920).

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

10778318314200 is a wasteful number, since it uses less digits than its factorization.

10778318314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10778318314200 in words is "ten trillion, seven hundred seventy-eight billion, three hundred eighteen million, three hundred fourteen thousand, two hundred".