11334508200000 has 840 divisors, whose sum is σ = 42434935255944. Its totient is φ = 2990960640000.

The previous prime is 11334508199953. The next prime is 11334508200011. The reversal of 11334508200000 is 280543311.

It is a happy number.

11334508200000 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 450 + 8 + 200 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10923606687744 + 410901512256 = 3305088^2 + 641016^2 .

It is a super-2 number, since 2×11334508200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1571396394 + ... + 1571403606.

Almost surely, 2^{11334508200000} is an apocalyptic number.

11334508200000 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 11334508200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217467627972).

11334508200000 is an abundant number, since it is smaller than the sum of its proper divisors (31100427055944).

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

11334508200000 is an frugal number, since it uses more digits than its factorization.

11334508200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11334508200000 its reverse (280543311), we get a palindrome (11334788743311).

The spelling of 11334508200000 in words is "eleven trillion, three hundred thirty-four billion, five hundred eight million, two hundred thousand".