1688142012480 has 1792 divisors, whose sum is σ = 7622274539520. Its totient is φ = 344443207680.

The previous prime is 1688142012461. The next prime is 1688142012499. The reversal of 1688142012480 is 842102418861.

1688142012480 is a `hidden beast` number, since 1 + 68 + 81 + 4 + 20 + 12 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1688142012461) and next prime (1688142012499).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5393424804 + ... + 5393425116.

Almost surely, 2^{1688142012480} is an apocalyptic number.

1688142012480 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 1688142012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811137269760).

1688142012480 is an abundant number, since it is smaller than the sum of its proper divisors (5934132527040).

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

1688142012480 is a wasteful number, since it uses less digits than its factorization.

1688142012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1688142012480 in words is "one trillion, six hundred eighty-eight billion, one hundred forty-two million, twelve thousand, four hundred eighty".