1688959504980 has 384 divisors, whose sum is σ = 5789337845760. Its totient is φ = 405379054080.

The previous prime is 1688959504961. The next prime is 1688959505003. The reversal of 1688959504980 is 894059598861.

1688959504980 is a `hidden beast` number, since 1 + 6 + 8 + 89 + 5 + 9 + 50 + 498 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1688959504899 and 1688959504908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412643814 + ... + 412647906.

It is an arithmetic number, because the mean of its divisors is an integer number (15076400640).

Almost surely, 2^{1688959504980} is an apocalyptic number.

1688959504980 is a gapful number since it is divisible by the number (10) 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 1688959504980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894668922880).

1688959504980 is an abundant number, since it is smaller than the sum of its proper divisors (4100378340780).

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

1688959504980 is a wasteful number, since it uses less digits than its factorization.

1688959504980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 1688959504980 in words is "one trillion, six hundred eighty-eight billion, nine hundred fifty-nine million, five hundred four thousand, nine hundred eighty".