1106127912960 has 1280 divisors, whose sum is σ = 4643652816000. Its totient is φ = 252829237248.

The previous prime is 1106127912917. The next prime is 1106127912973. The reversal of 1106127912960 is 692197216011.

1106127912960 is a `hidden beast` number, since 1 + 1 + 0 + 612 + 7 + 9 + 1 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

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, 158018273277 + ... + 158018273283.

Almost surely, 2^{1106127912960} is an apocalyptic number.

1106127912960 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 1106127912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321826408000).

1106127912960 is an abundant number, since it is smaller than the sum of its proper divisors (3537524903040).

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

1106127912960 is an frugal number, since it uses more digits than its factorization.

1106127912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1106127912960 in words is "one trillion, one hundred six billion, one hundred twenty-seven million, nine hundred twelve thousand, nine hundred sixty".