1106675781120 has 1920 divisors, whose sum is σ = 5086541940480. Its totient is φ = 215734026240.

The previous prime is 1106675781119. The next prime is 1106675781131. The reversal of 1106675781120 is 211875766011.

1106675781120 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 67 + 578 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2174215426 + ... + 2174215934.

It is an arithmetic number, because the mean of its divisors is an integer number (2649240594).

Almost surely, 2^{1106675781120} is an apocalyptic number.

1106675781120 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 1106675781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543270970240).

1106675781120 is an abundant number, since it is smaller than the sum of its proper divisors (3979866159360).

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

1106675781120 is a wasteful number, since it uses less digits than its factorization.

1106675781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 1106675781120 in words is "one trillion, one hundred six billion, six hundred seventy-five million, seven hundred eighty-one thousand, one hundred twenty".