1048783881600 has 2304 divisors, whose sum is σ = 4879367700480. Its totient is φ = 208461496320.

The previous prime is 1048783881487. The next prime is 1048783881601. The reversal of 1048783881600 is 61883878401.

It is a happy number.

1048783881600 is a `hidden beast` number, since 1 + 0 + 487 + 83 + 8 + 81 + 6 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048783881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7655356732 + ... + 7655356868.

It is an arithmetic number, because the mean of its divisors is an integer number (2117781120).

Almost surely, 2^{1048783881600} is an apocalyptic number.

1048783881600 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 1048783881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439683850240).

1048783881600 is an abundant number, since it is smaller than the sum of its proper divisors (3830583818880).

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

1048783881600 is a wasteful number, since it uses less digits than its factorization.

1048783881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1048783881600 in words is "one trillion, forty-eight billion, seven hundred eighty-three million, eight hundred eighty-one thousand, six hundred".