11385890642880 has 896 divisors, whose sum is σ = 45160204320000. Its totient is φ = 2681126977536.

The previous prime is 11385890642873. The next prime is 11385890642891. The reversal of 11385890642880 is 8824609858311.

11385890642880 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 589 + 0 + 6 + 42 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355027486 + ... + 355059554.

It is an arithmetic number, because the mean of its divisors is an integer number (50402013750).

Almost surely, 2^{11385890642880} is an apocalyptic number.

11385890642880 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 11385890642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580102160000).

11385890642880 is an abundant number, since it is smaller than the sum of its proper divisors (33774313677120).

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

11385890642880 is a wasteful number, since it uses less digits than its factorization.

11385890642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32246 (or 32230 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 11385890642880 in words is "eleven trillion, three hundred eighty-five billion, eight hundred ninety million, six hundred forty-two thousand, eight hundred eighty".