1065873828096 has 1152 divisors, whose sum is σ = 4186635264000. Its totient is φ = 264664350720.

The previous prime is 1065873828091. The next prime is 1065873828101. The reversal of 1065873828096 is 6908283785601.

1065873828096 is a `hidden beast` number, since 10 + 6 + 5 + 87 + 382 + 80 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1065873828091) and next prime (1065873828101).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1065873828096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1065873828091) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 599815560 + ... + 599817336.

It is an arithmetic number, because the mean of its divisors is an integer number (3634232000).

Almost surely, 2^{1065873828096} is an apocalyptic number.

1065873828096 is a gapful number since it is divisible by the number (16) 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 1065873828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093317632000).

1065873828096 is an abundant number, since it is smaller than the sum of its proper divisors (3120761435904).

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

1065873828096 is a wasteful number, since it uses less digits than its factorization.

1065873828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1065873828096 in words is "one trillion, sixty-five billion, eight hundred seventy-three million, eight hundred twenty-eight thousand, ninety-six".