2135758575312 has 160 divisors (see below), whose sum is σ = 6181164380160. Its totient is φ = 706030940160.

The previous prime is 2135758575283. The next prime is 2135758575317.

2135758575312 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 7 + 58 + 57 + 531 + 2 = 666.

2135758575312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2135758575312² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135758575317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171224308 + ... + 171236780.

It is an arithmetic number, because the mean of its divisors is an integer number (38632277376).

Almost surely, 2^{2135758575312} 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 2135758575312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090582190080).

2135758575312 is an abundant number, since it is smaller than the sum of its proper divisors (4045405804848).

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

2135758575312 is a wasteful number, since it uses less digits than its factorization.

2135758575312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15738 (or 15726 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 2135758575312 in words is "two trillion, one hundred thirty-five billion, seven hundred fifty-eight million, five hundred seventy-five thousand, three hundred twelve".