11075697360 has 1440 divisors, whose sum is σ = 51866680320. Its totient is φ = 2090188800.

The previous prime is 11075697323. The next prime is 11075697361. The reversal of 11075697360 is 6379657011.

11075697360 is a `hidden beast` number, since 1 + 10 + 7 + 569 + 73 + 6 + 0 = 666.

It is a super-3 number, since 3×11075697360³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075697361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 270138940 + ... + 270138980.

It is an arithmetic number, because the mean of its divisors is an integer number (36018528).

Almost surely, 2^11075697360 is an apocalyptic number.

11075697360 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 11075697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933340160).

11075697360 is an abundant number, since it is smaller than the sum of its proper divisors (40790982960).

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

11075697360 is a wasteful number, since it uses less digits than its factorization.

11075697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 11075697360 in words is "eleven billion, seventy-five million, six hundred ninety-seven thousand, three hundred sixty".