11032482625290 has 192 divisors, whose sum is σ = 33112856724480. Its totient is φ = 2496396464640.

The previous prime is 11032482625271. The next prime is 11032482625291. The reversal of 11032482625290 is 9252628423011.

11032482625290 is a `hidden beast` number, since 1 + 1 + 0 + 32 + 482 + 6 + 2 + 52 + 90 = 666.

It is a super-3 number, since 3×11032482625290³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11032482625291) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26598816 + ... + 27010404.

It is an arithmetic number, because the mean of its divisors is an integer number (172462795440).

Almost surely, 2^{11032482625290} is an apocalyptic number.

11032482625290 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 11032482625290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556428362240).

11032482625290 is an abundant number, since it is smaller than the sum of its proper divisors (22080374099190).

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

11032482625290 is a wasteful number, since it uses less digits than its factorization.

11032482625290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412037 (or 412034 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11032482625290 in words is "eleven trillion, thirty-two billion, four hundred eighty-two million, six hundred twenty-five thousand, two hundred ninety".