1105627944960 has 1152 divisors, whose sum is σ = 4801882176000. Its totient is φ = 228568596480.

The previous prime is 1105627944947. The next prime is 1105627945007. The reversal of 1105627944960 is 694497265011.

1105627944960 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 62 + 7 + 94 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1105627944897 and 1105627944906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2462422816 + ... + 2462423264.

It is an arithmetic number, because the mean of its divisors is an integer number (4168300500).

Almost surely, 2^{1105627944960} is an apocalyptic number.

1105627944960 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 1105627944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400941088000).

1105627944960 is an abundant number, since it is smaller than the sum of its proper divisors (3696254231040).

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

1105627944960 is a wasteful number, since it uses less digits than its factorization.

1105627944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1105627944960 in words is "one trillion, one hundred five billion, six hundred twenty-seven million, nine hundred forty-four thousand, nine hundred sixty".