10936868400 has 480 divisors, whose sum is σ = 41847321600. Its totient is φ = 2703052800.

The previous prime is 10936868377. The next prime is 10936868401. The reversal of 10936868400 is 486863901.

10936868400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10936868401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13035181 + ... + 13036019.

It is an arithmetic number, because the mean of its divisors is an integer number (87181920).

Almost surely, 2^10936868400 is an apocalyptic number.

10936868400 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 10936868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923660800).

10936868400 is an abundant number, since it is smaller than the sum of its proper divisors (30910453200).

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

10936868400 is a wasteful number, since it uses less digits than its factorization.

10936868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10936868400 in words is "ten billion, nine hundred thirty-six million, eight hundred sixty-eight thousand, four hundred".