1006883779200 has 768 divisors, whose sum is σ = 3802762857600. Its totient is φ = 231965982720.

The previous prime is 1006883779171. The next prime is 1006883779219. The reversal of 1006883779200 is 29773886001.

1006883779200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409467571 + ... + 409470029.

Almost surely, 2^{1006883779200} is an apocalyptic number.

1006883779200 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 1006883779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901381428800).

1006883779200 is an abundant number, since it is smaller than the sum of its proper divisors (2795879078400).

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

1006883779200 is a wasteful number, since it uses less digits than its factorization.

1006883779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1006883779200 in words is "one trillion, six billion, eight hundred eighty-three million, seven hundred seventy-nine thousand, two hundred".