2135286489600 has 1680 divisors, whose sum is σ = 8804781082944. Its totient is φ = 508612608000.

The previous prime is 2135286489599. The next prime is 2135286489619. The reversal of 2135286489600 is 69846825312.

2135286489600 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 28 + 6 + 4 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 7287667054 + ... + 7287667346.

Almost surely, 2^{2135286489600} is an apocalyptic number.

2135286489600 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 2135286489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402390541472).

2135286489600 is an abundant number, since it is smaller than the sum of its proper divisors (6669494593344).

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

2135286489600 is an equidigital number, since it uses as much as digits as its factorization.

2135286489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2135286489600 in words is "two trillion, one hundred thirty-five billion, two hundred eighty-six million, four hundred eighty-nine thousand, six hundred".