11552125544010 has 256 divisors, whose sum is σ = 33038591040000. Its totient is φ = 2866827479040.

The previous prime is 11552125543999. The next prime is 11552125544027. The reversal of 11552125544010 is 1044552125511.

11552125544010 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 1 + 2 + 554 + 40 + 10 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26428716 + ... + 26862264.

It is an arithmetic number, because the mean of its divisors is an integer number (129056996250).

Almost surely, 2^{11552125544010} is an apocalyptic number.

11552125544010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552125544010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519295520000).

11552125544010 is an abundant number, since it is smaller than the sum of its proper divisors (21486465495990).

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

11552125544010 is a wasteful number, since it uses less digits than its factorization.

11552125544010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433718 (or 433712 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 11552125544010 its reverse (1044552125511), we get a palindrome (12596677669521).

The spelling of 11552125544010 in words is "eleven trillion, five hundred fifty-two billion, one hundred twenty-five million, five hundred forty-four thousand, ten".