1005747385872 has 160 divisors (see below), whose sum is σ = 2686428057600. Its totient is φ = 324112029696.

The previous prime is 1005747385859. The next prime is 1005747385873. The reversal of 1005747385872 is 2785837475001.

It is not an unprimeable number, because it can be changed into a prime (1005747385873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35551029 + ... + 35579307.

It is an arithmetic number, because the mean of its divisors is an integer number (16790175360).

Almost surely, 2^{1005747385872} is an apocalyptic number.

1005747385872 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 1005747385872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343214028800).

1005747385872 is an abundant number, since it is smaller than the sum of its proper divisors (1680680671728).

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

1005747385872 is a wasteful number, since it uses less digits than its factorization.

1005747385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28565 (or 28559 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 57.

The spelling of 1005747385872 in words is "one trillion, five billion, seven hundred forty-seven million, three hundred eighty-five thousand, eight hundred seventy-two".