2115377775360 has 216 divisors, whose sum is σ = 7323981157584. Its totient is φ = 563715809280.

The previous prime is 2115377775337. The next prime is 2115377775389. The reversal of 2115377775360 is 635777735112.

2115377775360 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 37 + 7 + 77 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2115377775297 and 2115377775306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17022250 + ... + 17146070.

It is an arithmetic number, because the mean of its divisors is an integer number (33907320174).

Almost surely, 2^{2115377775360} is an apocalyptic number.

2115377775360 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 2115377775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661990578792).

2115377775360 is an abundant number, since it is smaller than the sum of its proper divisors (5208603382224).

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

2115377775360 is a wasteful number, since it uses less digits than its factorization.

2115377775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125331 (or 125314 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

It can be divided in two parts, 211537 and 7775360, that added together give a palindrome (7986897).

The spelling of 2115377775360 in words is "two trillion, one hundred fifteen billion, three hundred seventy-seven million, seven hundred seventy-five thousand, three hundred sixty".