1000611875328 has 480 divisors, whose sum is σ = 3056440375296. Its totient is φ = 289114914816.

The previous prime is 1000611875323. The next prime is 1000611875339. The reversal of 1000611875328 is 8235781160001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1000611875328.

It is not an unprimeable number, because it can be changed into a prime (1000611875321) 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 47 ways as a sum of consecutive naturals, for example, 915472350 + ... + 915473442.

Almost surely, 2^{1000611875328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000611875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528220187648).

1000611875328 is an abundant number, since it is smaller than the sum of its proper divisors (2055828499968).

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

1000611875328 is a wasteful number, since it uses less digits than its factorization.

1000611875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1000611875328 in words is "one trillion, six hundred eleven million, eight hundred seventy-five thousand, three hundred twenty-eight".