1067825665960 has 64 divisors (see below), whose sum is σ = 2530806379200. Its totient is φ = 404370432000.

The previous prime is 1067825665943. The next prime is 1067825665961. The reversal of 1067825665960 is 695665287601.

It is a super-2 number, since 2×1067825665960² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1067825665961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618600 + ... + 1586920.

It is an arithmetic number, because the mean of its divisors is an integer number (39543849675).

Almost surely, 2^{1067825665960} is an apocalyptic number.

1067825665960 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 1067825665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265403189600).

1067825665960 is an abundant number, since it is smaller than the sum of its proper divisors (1462980713240).

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

1067825665960 is a wasteful number, since it uses less digits than its factorization.

1067825665960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969802 (or 969798 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 1067825665960 in words is "one trillion, sixty-seven billion, eight hundred twenty-five million, six hundred sixty-five thousand, nine hundred sixty".