11575208960640 has 768 divisors, whose sum is σ = 44646342773760. Its totient is φ = 2744185651200.

The previous prime is 11575208960603. The next prime is 11575208960641. The reversal of 11575208960640 is 4606980257511.

It is a happy number.

11575208960640 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 5 + 20 + 8 + 9 + 606 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11575208960641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489778264 + ... + 489801896.

It is an arithmetic number, because the mean of its divisors is an integer number (58133258820).

Almost surely, 2^{11575208960640} is an apocalyptic number.

11575208960640 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 11575208960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323171386880).

11575208960640 is an abundant number, since it is smaller than the sum of its proper divisors (33071133813120).

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

11575208960640 is a wasteful number, since it uses less digits than its factorization.

11575208960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23913 (or 23898 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11575208960640 in words is "eleven trillion, five hundred seventy-five billion, two hundred eight million, nine hundred sixty thousand, six hundred forty".