10778758209800 has 192 divisors, whose sum is σ = 28874348173440. Its totient is φ = 3665548800000.

The previous prime is 10778758209797. The next prime is 10778758209829. The reversal of 10778758209800 is 890285787701.

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 47 ways as a sum of consecutive naturals, for example, 84623762 + ... + 84751038.

It is an arithmetic number, because the mean of its divisors is an integer number (150387230070).

Almost surely, 2^{10778758209800} is an apocalyptic number.

10778758209800 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 10778758209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437174086720).

10778758209800 is an abundant number, since it is smaller than the sum of its proper divisors (18095589963640).

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

10778758209800 is a wasteful number, since it uses less digits than its factorization.

10778758209800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127792 (or 127783 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 62.

The spelling of 10778758209800 in words is "ten trillion, seven hundred seventy-eight billion, seven hundred fifty-eight million, two hundred nine thousand, eight hundred".