1005852936096 has 192 divisors, whose sum is σ = 3062173040640. Its totient is φ = 320614398720.

The previous prime is 1005852936079. The next prime is 1005852936139. The reversal of 1005852936096 is 6906392585001.

It is a happy number.

1005852936096 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 5 + 29 + 3 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 113484561 + ... + 113493423.

It is an arithmetic number, because the mean of its divisors is an integer number (15948817920).

Almost surely, 2^{1005852936096} is an apocalyptic number.

1005852936096 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 1005852936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531086520320).

1005852936096 is an abundant number, since it is smaller than the sum of its proper divisors (2056320104544).

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

1005852936096 is a wasteful number, since it uses less digits than its factorization.

1005852936096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14616 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1005852936096 in words is "one trillion, five billion, eight hundred fifty-two million, nine hundred thirty-six thousand, ninety-six".