10778051200 has 192 divisors, whose sum is σ = 30669376320. Its totient is φ = 3666124800.

The previous prime is 10778051159. The next prime is 10778051203. The reversal of 10778051200 is 215087701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10778051203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932564 + ... + 2936236.

It is an arithmetic number, because the mean of its divisors is an integer number (159736335).

Almost surely, 2^10778051200 is an apocalyptic number.

10778051200 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 10778051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334688160).

10778051200 is an abundant number, since it is smaller than the sum of its proper divisors (19891325120).

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

10778051200 is a wasteful number, since it uses less digits than its factorization.

10778051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The spelling of 10778051200 in words is "ten billion, seven hundred seventy-eight million, fifty-one thousand, two hundred".