11072588427360 has 336 divisors, whose sum is σ = 39250648011456. Its totient is φ = 2950423916544.

The previous prime is 11072588427317. The next prime is 11072588427371. The reversal of 11072588427360 is 6372488527011.

11072588427360 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 2 + 588 + 4 + 27 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11072588427297 and 11072588427306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 154745512 + ... + 154817048.

It is an arithmetic number, because the mean of its divisors is an integer number (116817404796).

Almost surely, 2^{11072588427360} is an apocalyptic number.

11072588427360 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 11072588427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625324005728).

11072588427360 is an abundant number, since it is smaller than the sum of its proper divisors (28178059584096).

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

11072588427360 is an equidigital number, since it uses as much as digits as its factorization.

11072588427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72897 (or 72874 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 11072588427360 in words is "eleven trillion, seventy-two billion, five hundred eighty-eight million, four hundred twenty-seven thousand, three hundred sixty".