2135809917360 has 960 divisors, whose sum is σ = 8657236972800. Its totient is φ = 461612777472.

The previous prime is 2135809917349. The next prime is 2135809917403. The reversal of 2135809917360 is 637199085312.

2135809917360 is a `hidden beast` number, since 2 + 13 + 580 + 9 + 9 + 17 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2135809917297 and 2135809917306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1469930394 + ... + 1469931846.

It is an arithmetic number, because the mean of its divisors is an integer number (9017955180).

Almost surely, 2^{2135809917360} is an apocalyptic number.

2135809917360 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 2135809917360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328618486400).

2135809917360 is an abundant number, since it is smaller than the sum of its proper divisors (6521427055440).

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

2135809917360 is a wasteful number, since it uses less digits than its factorization.

2135809917360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2135809917360 in words is "two trillion, one hundred thirty-five billion, eight hundred nine million, nine hundred seventeen thousand, three hundred sixty".