2135499735936 has 512 divisors, whose sum is σ = 7188111360000. Its totient is φ = 559363553280.

The previous prime is 2135499735893. The next prime is 2135499735947. The reversal of 2135499735936 is 6395379945312.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 77564605 + ... + 77592131.

It is an arithmetic number, because the mean of its divisors is an integer number (14039280000).

Almost surely, 2^{2135499735936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135499735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594055680000).

2135499735936 is an abundant number, since it is smaller than the sum of its proper divisors (5052611624064).

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

2135499735936 is a wasteful number, since it uses less digits than its factorization.

2135499735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27615 (or 27589 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 66.

The spelling of 2135499735936 in words is "two trillion, one hundred thirty-five billion, four hundred ninety-nine million, seven hundred thirty-five thousand, nine hundred thirty-six".