1668521500800 has 1152 divisors, whose sum is σ = 7137266400000. Its totient is φ = 338597683200.

The previous prime is 1668521500787. The next prime is 1668521500819. The reversal of 1668521500800 is 80051258661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222495451 + ... + 222502949.

It is an arithmetic number, because the mean of its divisors is an integer number (6195543750).

Almost surely, 2^{1668521500800} is an apocalyptic number.

1668521500800 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 1668521500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568633200000).

1668521500800 is an abundant number, since it is smaller than the sum of its proper divisors (5468744899200).

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

1668521500800 is a wasteful number, since it uses less digits than its factorization.

1668521500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 1668521500800 in words is "one trillion, six hundred sixty-eight billion, five hundred twenty-one million, five hundred thousand, eight hundred".