11131853412528 has 240 divisors, whose sum is σ = 33025044000000. Its totient is φ = 3490562668032.

The previous prime is 11131853412503. The next prime is 11131853412541. The reversal of 11131853412528 is 82521435813111.

11131853412528 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 85 + 3 + 41 + 2 + 528 = 666.

It is a super-2 number, since 2×11131853412528² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271667050 + ... + 271708022.

It is an arithmetic number, because the mean of its divisors is an integer number (137604350000).

Almost surely, 2^{11131853412528} is an apocalyptic number.

11131853412528 is a gapful number since it is divisible by the number (18) 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 11131853412528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512522000000).

11131853412528 is an abundant number, since it is smaller than the sum of its proper divisors (21893190587472).

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

11131853412528 is a wasteful number, since it uses less digits than its factorization.

11131853412528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41704 (or 41695 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 11131853412528 in words is "eleven trillion, one hundred thirty-one billion, eight hundred fifty-three million, four hundred twelve thousand, five hundred twenty-eight".