2135393718912 has 768 divisors, whose sum is σ = 6802635571200. Its totient is φ = 658603008000.

The previous prime is 2135393718889. The next prime is 2135393718923. The reversal of 2135393718912 is 2198173935312.

It is a happy number.

2135393718912 is a `hidden beast` number, since 2 + 1 + 3 + 539 + 3 + 7 + 18 + 91 + 2 = 666.

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

Its product of digits (2449440) is a multiple of the sum of its prime divisors (315).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12786788653 + ... + 12786788819.

It is an arithmetic number, because the mean of its divisors is an integer number (8857598400).

Almost surely, 2^{2135393718912} 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 2135393718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401317785600).

2135393718912 is an abundant number, since it is smaller than the sum of its proper divisors (4667241852288).

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

2135393718912 is a wasteful number, since it uses less digits than its factorization.

2135393718912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 315 counting only the distinct ones).

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

The spelling of 2135393718912 in words is "two trillion, one hundred thirty-five billion, three hundred ninety-three million, seven hundred eighteen thousand, nine hundred twelve".