11375730720 has 240 divisors, whose sum is σ = 40332683160. Its totient is φ = 3019493376.

The previous prime is 11375730719. The next prime is 11375730731. The reversal of 11375730720 is 2703757311.

11375730720 is a `hidden beast` number, since 1 + 13 + 7 + 573 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10008801936 + 1366928784 = 100044^2 + 36972^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965924 + ... + 2969756.

Almost surely, 2^11375730720 is an apocalyptic number.

11375730720 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 11375730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166341580).

11375730720 is an abundant number, since it is smaller than the sum of its proper divisors (28956952440).

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

11375730720 is a wasteful number, since it uses less digits than its factorization.

11375730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 11375730720 in words is "eleven billion, three hundred seventy-five million, seven hundred thirty thousand, seven hundred twenty".