1106386061760 has 336 divisors, whose sum is σ = 4489448650752. Its totient is φ = 244730419200.

The previous prime is 1106386061749. The next prime is 1106386061771. The reversal of 1106386061760 is 671606836011.

1106386061760 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 38 + 606 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1106386061749) and next prime (1106386061771).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 260206 + ... + 1510125.

Almost surely, 2^{1106386061760} is an apocalyptic number.

1106386061760 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 1106386061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244724325376).

1106386061760 is an abundant number, since it is smaller than the sum of its proper divisors (3383062588992).

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

1106386061760 is a wasteful number, since it uses less digits than its factorization.

1106386061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770392 (or 1770379 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1106386061760 in words is "one trillion, one hundred six billion, three hundred eighty-six million, sixty-one thousand, seven hundred sixty".