11130361327800 has 1728 divisors, whose sum is σ = 46353547468800. Its totient is φ = 2369502720000.

The previous prime is 11130361327777. The next prime is 11130361327807. The reversal of 11130361327800 is 872316303111.

11130361327800 is a `hidden beast` number, since 1 + 1 + 1 + 30 + 3 + 613 + 2 + 7 + 8 + 0 + 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 (11130361327807) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6327663321 + ... + 6327665079.

It is an arithmetic number, because the mean of its divisors is an integer number (26824969600).

Almost surely, 2^{11130361327800} is an apocalyptic number.

11130361327800 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 11130361327800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176773734400).

11130361327800 is an abundant number, since it is smaller than the sum of its proper divisors (35223186141000).

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

11130361327800 is a wasteful number, since it uses less digits than its factorization.

11130361327800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11130361327800 in words is "eleven trillion, one hundred thirty billion, three hundred sixty-one million, three hundred twenty-seven thousand, eight hundred".