1075783645200 has 240 divisors, whose sum is σ = 3775115520000. Its totient is φ = 259704076800.

The previous prime is 1075783645141. The next prime is 1075783645229. The reversal of 1075783645200 is 25463875701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1075783645200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2984301 + ... + 3325299.

It is an arithmetic number, because the mean of its divisors is an integer number (15729648000).

Almost surely, 2^{1075783645200} is an apocalyptic number.

1075783645200 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 1075783645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887557760000).

1075783645200 is an abundant number, since it is smaller than the sum of its proper divisors (2699331874800).

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

1075783645200 is a wasteful number, since it uses less digits than its factorization.

1075783645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341270 (or 341259 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 1075783645200 in words is "one trillion, seventy-five billion, seven hundred eighty-three million, six hundred forty-five thousand, two hundred".