1688136267552 has 192 divisors, whose sum is σ = 5299846723584. Its totient is φ = 460022999040.

The previous prime is 1688136267533. The next prime is 1688136267619. The reversal of 1688136267552 is 2557626318861.

It is a super-3 number, since 3×1688136267552³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205852 + ... + 5520612.

It is an arithmetic number, because the mean of its divisors is an integer number (27603368352).

Almost surely, 2^{1688136267552} is an apocalyptic number.

1688136267552 is a gapful number since it is divisible by the number (12) 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 1688136267552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649923361792).

1688136267552 is an abundant number, since it is smaller than the sum of its proper divisors (3611710456032).

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

1688136267552 is a wasteful number, since it uses less digits than its factorization.

1688136267552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315151 (or 315143 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 1688136267552 in words is "one trillion, six hundred eighty-eight billion, one hundred thirty-six million, two hundred sixty-seven thousand, five hundred fifty-two".