1075055520 has 768 divisors, whose sum is σ = 4702924800. Its totient is φ = 199557120.

The previous prime is 1075055477. The next prime is 1075055539. The reversal of 1075055520 is 255505701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18221251 + ... + 18221309.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^1075055520 is an apocalyptic number.

1075055520 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 1075055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1075055520 is an abundant number, since it is smaller than the sum of its proper divisors (3627869280).

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

1075055520 is a wasteful number, since it uses less digits than its factorization.

1075055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 1075055520 is about 32788.0392826409. The cubic root of 1075055520 is about 1024.4174425144.

The spelling of 1075055520 in words is "one billion, seventy-five million, fifty-five thousand, five hundred twenty".