2115305385600 has 1536 divisors, whose sum is σ = 8392605696000. Its totient is φ = 462551040000.

The previous prime is 2115305385559. The next prime is 2115305385601. The reversal of 2115305385600 is 65835035112.

It is not an unprimeable number, because it can be changed into a prime (2115305385601) 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, 4416086161 + ... + 4416086639.

It is an arithmetic number, because the mean of its divisors is an integer number (5463936000).

Almost surely, 2^{2115305385600} is an apocalyptic number.

2115305385600 is a gapful number since it is divisible by the number (20) 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 2115305385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196302848000).

2115305385600 is an abundant number, since it is smaller than the sum of its proper divisors (6277300310400).

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

2115305385600 is a wasteful number, since it uses less digits than its factorization.

2115305385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 2115305385600 in words is "two trillion, one hundred fifteen billion, three hundred five million, three hundred eighty-five thousand, six hundred".