1130855705280 has 2688 divisors, whose sum is σ = 5282042572800. Its totient is φ = 222358929408.

The previous prime is 1130855705267. The next prime is 1130855705323. The reversal of 1130855705280 is 825075580311.

1130855705280 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 8 + 55 + 70 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11658306192 + ... + 11658306288.

It is an arithmetic number, because the mean of its divisors is an integer number (1965045600).

Almost surely, 2^{1130855705280} is an apocalyptic number.

1130855705280 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 1130855705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641021286400).

1130855705280 is an abundant number, since it is smaller than the sum of its proper divisors (4151186867520).

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

1130855705280 is a wasteful number, since it uses less digits than its factorization.

1130855705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1130855705280 in words is "one trillion, one hundred thirty billion, eight hundred fifty-five million, seven hundred five thousand, two hundred eighty".