11360542500 has 180 divisors, whose sum is σ = 36037261260. Its totient is φ = 3016608000.

The previous prime is 11360542489. The next prime is 11360542507. The reversal of 11360542500 is 524506311.

11360542500 is a `hidden beast` number, since 1 + 1 + 3 + 605 + 4 + 2 + 50 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 10353876516 + 1006665984 = 101754^2 + 31728^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (11360542507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6051562 + ... + 6053438.

It is an arithmetic number, because the mean of its divisors is an integer number (200207007).

Almost surely, 2^11360542500 is an apocalyptic number.

11360542500 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 11360542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018630630).

11360542500 is an abundant number, since it is smaller than the sum of its proper divisors (24676718760).

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

11360542500 is a wasteful number, since it uses less digits than its factorization.

11360542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11360542500 in words is "eleven billion, three hundred sixty million, five hundred forty-two thousand, five hundred".