11145534400 has 336 divisors, whose sum is σ = 36827642880. Its totient is φ = 3206246400.

The previous prime is 11145534391. The next prime is 11145534427. The reversal of 11145534400 is 443554111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598121 + ... + 1605079.

It is an arithmetic number, because the mean of its divisors is an integer number (109606080).

Almost surely, 2^11145534400 is an apocalyptic number.

11145534400 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 11145534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413821440).

11145534400 is an abundant number, since it is smaller than the sum of its proper divisors (25682108480).

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

11145534400 is a wasteful number, since it uses less digits than its factorization.

11145534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

It can be divided in two parts, 11145 and 534400, that added together give a palindrome (545545).

The spelling of 11145534400 in words is "eleven billion, one hundred forty-five million, five hundred thirty-four thousand, four hundred".