1069091311680 has 336 divisors, whose sum is σ = 4204648456320. Its totient is φ = 244241547264.

The previous prime is 1069091311669. The next prime is 1069091311703. The reversal of 1069091311680 is 861131909601.

1069091311680 is a `hidden beast` number, since 106 + 90 + 91 + 311 + 68 + 0 = 666.

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

It is a super-2 number, since 2×1069091311680² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43916472 + ... + 43940808.

Almost surely, 2^{1069091311680} is an apocalyptic number.

1069091311680 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 1069091311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102324228160).

1069091311680 is an abundant number, since it is smaller than the sum of its proper divisors (3135557144640).

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

1069091311680 is a wasteful number, since it uses less digits than its factorization.

1069091311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26546 (or 26533 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 1069091311680 in words is "one trillion, sixty-nine billion, ninety-one million, three hundred eleven thousand, six hundred eighty".