11055734560 has 96 divisors (see below), whose sum is σ = 28272171312. Its totient is φ = 4061245440.

The previous prime is 11055734537. The next prime is 11055734563. The reversal of 11055734560 is 6543755011.

It can be written as a sum of positive squares in 8 ways, for example, as 3696153616 + 7359580944 = 60796^2 + 85788^2 .

It is a super-2 number, since 2×11055734560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11055734563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396270 + ... + 423250.

Almost surely, 2^11055734560 is an apocalyptic number.

11055734560 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 11055734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136085656).

11055734560 is an abundant number, since it is smaller than the sum of its proper divisors (17216436752).

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

11055734560 is a wasteful number, since it uses less digits than its factorization.

11055734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27206 (or 27198 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 11055734560 in words is "eleven billion, fifty-five million, seven hundred thirty-four thousand, five hundred sixty".