2135817775728 has 300 divisors, whose sum is σ = 7744080987720. Its totient is φ = 563292382464.

The previous prime is 2135817775709. The next prime is 2135817775789. The reversal of 2135817775728 is 8275777185312.

2135817775728 is a `hidden beast` number, since 2 + 1 + 3 + 58 + 1 + 7 + 7 + 7 + 572 + 8 = 666.

It is a super-2 number, since 2×2135817775728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468018 + ... + 2119121.

Almost surely, 2^{2135817775728} is an apocalyptic number.

2135817775728 is a gapful number since it is divisible by the number (28) 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 2135817775728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872040493860).

2135817775728 is an abundant number, since it is smaller than the sum of its proper divisors (5608263211992).

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

2135817775728 is a wasteful number, since it uses less digits than its factorization.

2135817775728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587186 (or 2587164 counting only the distinct ones).

The product of its digits is 46099200, while the sum is 63.

The spelling of 2135817775728 in words is "two trillion, one hundred thirty-five billion, eight hundred seventeen million, seven hundred seventy-five thousand, seven hundred twenty-eight".