1000741675500 has 1152 divisors, whose sum is σ = 4017875097600. Its totient is φ = 216481507200.

The previous prime is 1000741675499. The next prime is 1000741675529. The reversal of 1000741675500 is 55761470001.

1000741675500 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 41 + 67 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 1018048009 + ... + 1018048991.

It is an arithmetic number, because the mean of its divisors is an integer number (3487738800).

Almost surely, 2^{1000741675500} is an apocalyptic number.

1000741675500 is a gapful number since it is divisible by the number (10) 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 1000741675500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008937548800).

1000741675500 is an abundant number, since it is smaller than the sum of its proper divisors (3017133422100).

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

1000741675500 is an equidigital number, since it uses as much as digits as its factorization.

1000741675500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1000741675500 in words is "one trillion, seven hundred forty-one million, six hundred seventy-five thousand, five hundred".