1067830102080 has 1568 divisors, whose sum is σ = 4639530024960. Its totient is φ = 228562145280.

The previous prime is 1067830102033. The next prime is 1067830102133. The reversal of 1067830102080 is 802010387601.

It is a super-2 number, since 2×1067830102080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3940332345 + ... + 3940332615.

Almost surely, 2^{1067830102080} is an apocalyptic number.

1067830102080 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 1067830102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319765012480).

1067830102080 is an abundant number, since it is smaller than the sum of its proper divisors (3571699922880).

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

1067830102080 is a wasteful number, since it uses less digits than its factorization.

1067830102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1067830102080 its reverse (802010387601), we get a palindrome (1869840489681).

The spelling of 1067830102080 in words is "one trillion, sixty-seven billion, eight hundred thirty million, one hundred two thousand, eighty".