1130218601600 has 576 divisors, whose sum is σ = 3224746728000. Its totient is φ = 390371942400.

The previous prime is 1130218601587. The next prime is 1130218601609. The reversal of 1130218601600 is 61068120311.

It is not an unprimeable number, because it can be changed into a prime (1130218601609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1594102046 + ... + 1594102754.

It is an arithmetic number, because the mean of its divisors is an integer number (5598518625).

Almost surely, 2^{1130218601600} is an apocalyptic number.

1130218601600 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 1130218601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612373364000).

1130218601600 is an abundant number, since it is smaller than the sum of its proper divisors (2094528126400).

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

1130218601600 is a wasteful number, since it uses less digits than its factorization.

1130218601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 1130218601600 in words is "one trillion, one hundred thirty billion, two hundred eighteen million, six hundred one thousand, six hundred".