1107288000000 has 1680 divisors, whose sum is σ = 4945502321760. Its totient is φ = 233625600000.

The previous prime is 1107287999999. The next prime is 1107288000001. The reversal of 1107288000000 is 8827011.

It is an interprime number because it is at equal distance from previous prime (1107287999999) and next prime (1107288000001).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107288000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 85175999994 + ... + 85176000006.

It is an arithmetic number, because the mean of its divisors is an integer number (2943751382).

Almost surely, 2^{1107288000000} is an apocalyptic number.

1107288000000 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 1107288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472751160880).

1107288000000 is an abundant number, since it is smaller than the sum of its proper divisors (3838214321760).

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

1107288000000 is an frugal number, since it uses more digits than its factorization.

1107288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 1107288000000 in words is "one trillion, one hundred seven billion, two hundred eighty-eight million", and thus it is an aban number.