11581194240 has 1088 divisors, whose sum is σ = 54357765120. Its totient is φ = 2264924160.

The previous prime is 11581194199. The next prime is 11581194269. The reversal of 11581194240 is 4249118511.

11581194240 is a `hidden beast` number, since 115 + 8 + 119 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

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

It is a junction number, because it is equal to n+sod(n) for n = 11581194195 and 11581194204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681246712 + ... + 681246728.

Almost surely, 2^11581194240 is an apocalyptic number.

11581194240 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 11581194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178882560).

11581194240 is an abundant number, since it is smaller than the sum of its proper divisors (42776570880).

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

11581194240 is an equidigital number, since it uses as much as digits as its factorization.

11581194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11581194240 in words is "eleven billion, five hundred eighty-one million, one hundred ninety-four thousand, two hundred forty".