11203020400 has 480 divisors, whose sum is σ = 34419422016. Its totient is φ = 3440640000.

The previous prime is 11203020329. The next prime is 11203020403. The reversal of 11203020400 is 402030211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203020403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39868260 + ... + 39868540.

Almost surely, 2^11203020400 is an apocalyptic number.

11203020400 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 11203020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209711008).

11203020400 is an abundant number, since it is smaller than the sum of its proper divisors (23216401616).

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

11203020400 is a wasteful number, since it uses less digits than its factorization.

11203020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 11203020400 its reverse (402030211), we get a palindrome (11605050611).

The spelling of 11203020400 in words is "eleven billion, two hundred three million, twenty thousand, four hundred".