1107180988140 has 192 divisors, whose sum is σ = 3340078156800. Its totient is φ = 273009106944.

The previous prime is 1107180988117. The next prime is 1107180988187. The reversal of 1107180988140 is 418890817011.

It is a self number, because there is not a number n which added to its sum of digits gives 1107180988140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125711617 + ... + 125720423.

It is an arithmetic number, because the mean of its divisors is an integer number (17396240400).

Almost surely, 2^{1107180988140} is an apocalyptic number.

1107180988140 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 1107180988140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670039078400).

1107180988140 is an abundant number, since it is smaller than the sum of its proper divisors (2232897168660).

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

1107180988140 is a wasteful number, since it uses less digits than its factorization.

1107180988140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 48.

The spelling of 1107180988140 in words is "one trillion, one hundred seven billion, one hundred eighty million, nine hundred eighty-eight thousand, one hundred forty".