1106759120688 has 400 divisors, whose sum is σ = 3501069729696. Its totient is φ = 335505162240.

The previous prime is 1106759120657. The next prime is 1106759120699. The reversal of 1106759120688 is 8860219576011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 347926458 + ... + 347929638.

Almost surely, 2^{1106759120688} is an apocalyptic number.

1106759120688 is a gapful number since it is divisible by the number (18) 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 1106759120688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750534864848).

1106759120688 is an abundant number, since it is smaller than the sum of its proper divisors (2394310609008).

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

1106759120688 is a wasteful number, since it uses less digits than its factorization.

1106759120688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1106759120688 in words is "one trillion, one hundred six billion, seven hundred fifty-nine million, one hundred twenty thousand, six hundred eighty-eight".