1065382480512 has 192 divisors, whose sum is σ = 3521503814400. Its totient is φ = 302849390592.

The previous prime is 1065382480471. The next prime is 1065382480517. The reversal of 1065382480512 is 2150842835601.

1065382480512 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 38 + 24 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1065382480512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065382480517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253289 + ... + 1923927.

It is an arithmetic number, because the mean of its divisors is an integer number (18341165700).

Almost surely, 2^{1065382480512} is an apocalyptic number.

1065382480512 is a gapful number since it is divisible by the number (12) 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 1065382480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760751907200).

1065382480512 is an abundant number, since it is smaller than the sum of its proper divisors (2456121333888).

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

1065382480512 is a wasteful number, since it uses less digits than its factorization.

1065382480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670863 (or 670848 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1065382480512 in words is "one trillion, sixty-five billion, three hundred eighty-two million, four hundred eighty thousand, five hundred twelve".