11235405500400 has 240 divisors, whose sum is σ = 38252822416640. Its totient is φ = 2810860185600.

The previous prime is 11235405500369. The next prime is 11235405500401. The reversal of 11235405500400 is 400550453211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11235405500401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43741 + ... + 4740540.

Almost surely, 2^{11235405500400} is an apocalyptic number.

11235405500400 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 11235405500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126411208320).

11235405500400 is an abundant number, since it is smaller than the sum of its proper divisors (27017416916240).

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

11235405500400 is a wasteful number, since it uses less digits than its factorization.

11235405500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784424 (or 4784413 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 11235405500400 its reverse (400550453211), we get a palindrome (11635955953611).

The spelling of 11235405500400 in words is "eleven trillion, two hundred thirty-five billion, four hundred five million, five hundred thousand, four hundred".