11551542616125 has 48 divisors (see below), whose sum is σ = 20824966212336. Its totient is φ = 6160412851200.

The previous prime is 11551542616109. The next prime is 11551542616147. The reversal of 11551542616125 is 52161624515511.

11551542616125 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 5 + 4 + 2 + 616 + 1 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1202595163641 + 10348947452484 = 1096629^2 + 3216978^2 .

It is not a de Polignac number, because 11551542616125 - 2⁴ = 11551542616109 is a prime.

It is a super-2 number, since 2×11551542616125² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16965249 + ... + 17633001.

It is an arithmetic number, because the mean of its divisors is an integer number (433853462757).

Almost surely, 2^{11551542616125} is an apocalyptic number.

11551542616125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11551542616125 is a deficient number, since it is larger than the sum of its proper divisors (9273423596211).

11551542616125 is a wasteful number, since it uses less digits than its factorization.

11551542616125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683151 (or 683138 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The spelling of 11551542616125 in words is "eleven trillion, five hundred fifty-one billion, five hundred forty-two million, six hundred sixteen thousand, one hundred twenty-five".