11306241360 has 160 divisors (see below), whose sum is σ = 38991194880. Its totient is φ = 3011323392.

The previous prime is 11306241337. The next prime is 11306241361. The reversal of 11306241360 is 6314260311.

11306241360 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 624 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306241361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086014 + ... + 2091426.

It is an arithmetic number, because the mean of its divisors is an integer number (243694968).

Almost surely, 2^11306241360 is an apocalyptic number.

11306241360 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 11306241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495597440).

11306241360 is an abundant number, since it is smaller than the sum of its proper divisors (27684953520).

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

11306241360 is a wasteful number, since it uses less digits than its factorization.

11306241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11306241360 in words is "eleven billion, three hundred six million, two hundred forty-one thousand, three hundred sixty".