1069987164480 has 2688 divisors, whose sum is σ = 4780936742400. Its totient is φ = 224737099776.

The previous prime is 1069987164479. The next prime is 1069987164523. The reversal of 1069987164480 is 844617899601.

1069987164480 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 98 + 7 + 1 + 64 + 480 = 666.

It is a super-2 number, since 2×1069987164480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9468912904 + ... + 9468913016.

It is an arithmetic number, because the mean of its divisors is an integer number (1778622300).

Almost surely, 2^{1069987164480} is an apocalyptic number.

1069987164480 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 1069987164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390468371200).

1069987164480 is an abundant number, since it is smaller than the sum of its proper divisors (3710949577920).

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

1069987164480 is a wasteful number, since it uses less digits than its factorization.

1069987164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1069987164480 in words is "one trillion, sixty-nine billion, nine hundred eighty-seven million, one hundred sixty-four thousand, four hundred eighty".