11525035012000 has 192 divisors, whose sum is σ = 29987654415264. Its totient is φ = 4338122342400.

The previous prime is 11525035011989. The next prime is 11525035012061. The reversal of 11525035012000 is 21053052511.

It can be written as a sum of positive squares in 16 ways, for example, as 802737153936 + 10722297858064 = 895956^2 + 3274492^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607434514 + ... + 607453486.

Almost surely, 2^{11525035012000} is an apocalyptic number.

11525035012000 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 11525035012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993827207632).

11525035012000 is an abundant number, since it is smaller than the sum of its proper divisors (18462619403264).

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

11525035012000 is a wasteful number, since it uses less digits than its factorization.

11525035012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27948 (or 27930 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 11525035012000 its reverse (21053052511), we get a palindrome (11546088064511).

The spelling of 11525035012000 in words is "eleven trillion, five hundred twenty-five billion, thirty-five million, twelve thousand".