10112766400 has 168 divisors, whose sum is σ = 27419472720. Its totient is φ = 3640320000.

The previous prime is 10112766383. The next prime is 10112766403. The reversal of 10112766400 is 466721101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112766403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1774756 + ... + 1780444.

Almost surely, 2^10112766400 is an apocalyptic number.

10112766400 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 10112766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709736360).

10112766400 is an abundant number, since it is smaller than the sum of its proper divisors (17306706320).

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

10112766400 is a wasteful number, since it uses less digits than its factorization.

10112766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 10112766400 in words is "ten billion, one hundred twelve million, seven hundred sixty-six thousand, four hundred".