11075572560 has 240 divisors, whose sum is σ = 37802330496. Its totient is φ = 2666628096.

The previous prime is 11075572531. The next prime is 11075572561. The reversal of 11075572560 is 6527557011.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075572561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6891277 + ... + 6892883.

Almost surely, 2^11075572560 is an apocalyptic number.

11075572560 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 11075572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901165248).

11075572560 is an abundant number, since it is smaller than the sum of its proper divisors (26726757936).

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

11075572560 is a wasteful number, since it uses less digits than its factorization.

11075572560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

It can be divided in two parts, 110755 and 72560, that added together give a triangular number (183315 = T₆₀₅).

The spelling of 11075572560 in words is "eleven billion, seventy-five million, five hundred seventy-two thousand, five hundred sixty".