11013062400 has 864 divisors, whose sum is σ = 44892126720. Its totient is φ = 2627665920.

The previous prime is 11013062371. The next prime is 11013062413. The reversal of 11013062400 is 426031011.

It is a happy number.

11013062400 is a `hidden beast` number, since 1 + 10 + 1 + 30 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67564719 + ... + 67564881.

It is an arithmetic number, because the mean of its divisors is an integer number (51958480).

Almost surely, 2^11013062400 is an apocalyptic number.

11013062400 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 11013062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22446063360).

11013062400 is an abundant number, since it is smaller than the sum of its proper divisors (33879064320).

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

11013062400 is a wasteful number, since it uses less digits than its factorization.

11013062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11013062400 its reverse (426031011), we get a palindrome (11439093411).

The spelling of 11013062400 in words is "eleven billion, thirteen million, sixty-two thousand, four hundred".