11035398480600 has 768 divisors, whose sum is σ = 37992868300800. Its totient is φ = 2633142435840.

The previous prime is 11035398480571. The next prime is 11035398480607. The reversal of 11035398480600 is 608489353011.

It is a self number, because there is not a number n which added to its sum of digits gives 11035398480600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035398480607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11295187312 + ... + 11295188288.

It is an arithmetic number, because the mean of its divisors is an integer number (49469880600).

Almost surely, 2^{11035398480600} is an apocalyptic number.

11035398480600 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 11035398480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996434150400).

11035398480600 is an abundant number, since it is smaller than the sum of its proper divisors (26957469820200).

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

11035398480600 is a wasteful number, since it uses less digits than its factorization.

11035398480600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 11035398480600 in words is "eleven trillion, thirty-five billion, three hundred ninety-eight million, four hundred eighty thousand, six hundred".