3115112225280 has 640 divisors, whose sum is σ = 11085027655680. Its totient is φ = 739959767040.

The previous prime is 3115112225261. The next prime is 3115112225293. The reversal of 3115112225280 is 825222115113.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914325337 + ... + 914328743.

It is an arithmetic number, because the mean of its divisors is an integer number (17320355712).

Almost surely, 2^{3115112225280} is an apocalyptic number.

3115112225280 is a gapful number since it is divisible by the number (30) 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 3115112225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542513827840).

3115112225280 is an abundant number, since it is smaller than the sum of its proper divisors (7969915430400).

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

3115112225280 is a wasteful number, since it uses less digits than its factorization.

3115112225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 3115112225280 in words is "three trillion, one hundred fifteen billion, one hundred twelve million, two hundred twenty-five thousand, two hundred eighty".