11575001088000 has 2280 divisors, whose sum is σ = 50768744443560. Its totient is φ = 2615987404800.

The previous prime is 11575001087999. The next prime is 11575001088019. The reversal of 11575001088000 is 88010057511.

It is a happy number.

11575001088000 is a `hidden beast` number, since 1 + 1 + 575 + 0 + 0 + 1 + 0 + 8 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1582523744256 + 9992477343744 = 1257984^2 + 3161088^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130056191956 + ... + 130056192044.

It is an arithmetic number, because the mean of its divisors is an integer number (22266993177).

Almost surely, 2^{11575001088000} is an apocalyptic number.

11575001088000 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 11575001088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384372221780).

11575001088000 is an abundant number, since it is smaller than the sum of its proper divisors (39193743355560).

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

11575001088000 is an frugal number, since it uses more digits than its factorization.

11575001088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 11575001088000 in words is "eleven trillion, five hundred seventy-five billion, one million, eighty-eight thousand".