11013600400 has 120 divisors (see below), whose sum is σ = 29570169888. Its totient is φ = 3907200000.

The previous prime is 11013600383. The next prime is 11013600407. The reversal of 11013600400 is 400631011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11013600407) 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, 149875 + ... + 210925.

Almost surely, 2^11013600400 is an apocalyptic number.

11013600400 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 11013600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785084944).

11013600400 is an abundant number, since it is smaller than the sum of its proper divisors (18556569488).

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

11013600400 is a wasteful number, since it uses less digits than its factorization.

11013600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61121 (or 61110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 11013600400 in words is "eleven billion, thirteen million, six hundred thousand, four hundred".