11083059187200 has 4800 divisors, whose sum is σ = 56317660439040. Its totient is φ = 2078244864000.

The previous prime is 11083059187103. The next prime is 11083059187327. The reversal of 11083059187200 is 278195038011.

11083059187200 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 30 + 591 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-3 number, since 3×11083059187200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 61232371110 + ... + 61232371290.

Almost surely, 2^{11083059187200} is an apocalyptic number.

11083059187200 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 11083059187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158830219520).

11083059187200 is an abundant number, since it is smaller than the sum of its proper divisors (45234601251840).

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

11083059187200 is a wasteful number, since it uses less digits than its factorization.

11083059187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11083059187200 in words is "eleven trillion, eighty-three billion, fifty-nine million, one hundred eighty-seven thousand, two hundred".