10855338025536 has 189 divisors, whose sum is σ = 31432876795411. Its totient is φ = 3581834813184.

The previous prime is 10855338025507. The next prime is 10855338025537. The reversal of 10855338025536 is 63552083355801.

The square root of 10855338025536 is 3294744.

It is a perfect power (a square), and thus also a powerful number.

10855338025536 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 5 + 3 + 3 + 80 + 2 + 553 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10855338025537) 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 26 ways as a sum of consecutive naturals, for example, 8460901951 + ... + 8460903233.

Almost surely, 2^{10855338025536} is an apocalyptic number.

10855338025536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10855338025536 is the 3294744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10855338025536

10855338025536 is an abundant number, since it is smaller than the sum of its proper divisors (20577538769875).

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

10855338025536 is an frugal number, since it uses more digits than its factorization.

10855338025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 10855338025536 in words is "ten trillion, eight hundred fifty-five billion, three hundred thirty-eight million, twenty-five thousand, five hundred thirty-six".