1134532555200 has 1008 divisors, whose sum is σ = 4643140320000. Its totient is φ = 260049715200.

The previous prime is 1134532555171. The next prime is 1134532555201. The reversal of 1134532555200 is 25552354311.

1134532555200 is a `hidden beast` number, since 1 + 1 + 34 + 53 + 2 + 55 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134532555201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324243051 + ... + 324246549.

It is an arithmetic number, because the mean of its divisors is an integer number (4606290000).

Almost surely, 2^{1134532555200} is an apocalyptic number.

1134532555200 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 1134532555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321570160000).

1134532555200 is an abundant number, since it is smaller than the sum of its proper divisors (3508607764800).

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

1134532555200 is a wasteful number, since it uses less digits than its factorization.

1134532555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1134532555200 in words is "one trillion, one hundred thirty-four billion, five hundred thirty-two million, five hundred fifty-five thousand, two hundred".