1688969054880 has 384 divisors, whose sum is σ = 5952260160000. Its totient is φ = 447288459264.

The previous prime is 1688969054849. The next prime is 1688969054897. The reversal of 1688969054880 is 884509698861.

1688969054880 is a `hidden beast` number, since 1 + 6 + 8 + 89 + 69 + 0 + 5 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1688969054799 and 1688969054808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434291976 + ... + 434295864.

It is an arithmetic number, because the mean of its divisors is an integer number (15500677500).

Almost surely, 2^{1688969054880} is an apocalyptic number.

1688969054880 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 1688969054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976130080000).

1688969054880 is an abundant number, since it is smaller than the sum of its proper divisors (4263291105120).

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

1688969054880 is a wasteful number, since it uses less digits than its factorization.

1688969054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 1688969054880 in words is "one trillion, six hundred eighty-eight billion, nine hundred sixty-nine million, fifty-four thousand, eight hundred eighty".