3603115777056 has 192 divisors, whose sum is σ = 9873161819136. Its totient is φ = 1149482880000.

The previous prime is 3603115777033. The next prime is 3603115777061. The reversal of 3603115777056 is 6507775113063.

3603115777056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111704931 + ... + 111737181.

It is an arithmetic number, because the mean of its divisors is an integer number (51422717808).

Almost surely, 2^{3603115777056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3603115777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936580909568).

3603115777056 is an abundant number, since it is smaller than the sum of its proper divisors (6270046042080).

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

3603115777056 is a wasteful number, since it uses less digits than its factorization.

3603115777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32815 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 51.

The spelling of 3603115777056 in words is "three trillion, six hundred three billion, one hundred fifteen million, seven hundred seventy-seven thousand, fifty-six".