11352818400 has 576 divisors, whose sum is σ = 48092921856. Its totient is φ = 2255616000.

The previous prime is 11352818387. The next prime is 11352818429. The reversal of 11352818400 is 481825311.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4249065 + ... + 4251735.

It is an arithmetic number, because the mean of its divisors is an integer number (83494656).

Almost surely, 2^11352818400 is an apocalyptic number.

11352818400 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 11352818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046460928).

11352818400 is an abundant number, since it is smaller than the sum of its proper divisors (36740103456).

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

11352818400 is a wasteful number, since it uses less digits than its factorization.

11352818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11352818400 in words is "eleven billion, three hundred fifty-two million, eight hundred eighteen thousand, four hundred".