1107581111280 has 480 divisors, whose sum is σ = 4413217536000. Its totient is φ = 252887463936.

The previous prime is 1107581111267. The next prime is 1107581111311. The reversal of 1107581111280 is 821111857011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142744041 + ... + 142751799.

It is an arithmetic number, because the mean of its divisors is an integer number (9194203200).

Almost surely, 2^{1107581111280} is an apocalyptic number.

1107581111280 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 1107581111280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206608768000).

1107581111280 is an abundant number, since it is smaller than the sum of its proper divisors (3305636424720).

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

1107581111280 is a wasteful number, since it uses less digits than its factorization.

1107581111280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8825 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 36.

Adding to 1107581111280 its reverse (821111857011), we get a palindrome (1928692968291).

The spelling of 1107581111280 in words is "one trillion, one hundred seven billion, five hundred eighty-one million, one hundred eleven thousand, two hundred eighty".