11334511054200 has 384 divisors, whose sum is σ = 36289034496000. Its totient is φ = 2924389785600.

The previous prime is 11334511054109. The next prime is 11334511054213. The reversal of 11334511054200 is 245011543311.

It is a super-2 number, since 2×11334511054200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5558856781 + ... + 5558858819.

It is an arithmetic number, because the mean of its divisors is an integer number (94502694000).

Almost surely, 2^{11334511054200} is an apocalyptic number.

11334511054200 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 11334511054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144517248000).

11334511054200 is an abundant number, since it is smaller than the sum of its proper divisors (24954523441800).

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

11334511054200 is a wasteful number, since it uses less digits than its factorization.

11334511054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11334511054200 its reverse (245011543311), we get a palindrome (11579522597511).

The spelling of 11334511054200 in words is "eleven trillion, three hundred thirty-four billion, five hundred eleven million, fifty-four thousand, two hundred".