1012575360256 has 144 divisors (see below), whose sum is σ = 2088799574400. Its totient is φ = 489614598144.

The previous prime is 1012575360241. The next prime is 1012575360289. The reversal of 1012575360256 is 6520635752101.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 496602885 + ... + 496604923.

It is an arithmetic number, because the mean of its divisors is an integer number (14505552600).

Almost surely, 2^{1012575360256} is an apocalyptic number.

1012575360256 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 1012575360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044399787200).

1012575360256 is an abundant number, since it is smaller than the sum of its proper divisors (1076224214144).

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

1012575360256 is a wasteful number, since it uses less digits than its factorization.

1012575360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 1012575360256 in words is "one trillion, twelve billion, five hundred seventy-five million, three hundred sixty thousand, two hundred fifty-six".