1993966091568 has 360 divisors, whose sum is σ = 6368652046848. Its totient is φ = 603499248000.

The previous prime is 1993966091563. The next prime is 1993966091569. The reversal of 1993966091568 is 8651906693991.

1993966091568 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 9 + 6 + 609 + 1 + 5 + 6 + 8 = 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 = 1993966091496 and 1993966091505.

It is not an unprimeable number, because it can be changed into a prime (1993966091563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485029833 + ... + 485033943.

Almost surely, 2^{1993966091568} is an apocalyptic number.

1993966091568 is a gapful number since it is divisible by the number (18) 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 1993966091568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184326023424).

1993966091568 is an abundant number, since it is smaller than the sum of its proper divisors (4374685955280).

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

1993966091568 is a wasteful number, since it uses less digits than its factorization.

1993966091568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 72.

The spelling of 1993966091568 in words is "one trillion, nine hundred ninety-three billion, nine hundred sixty-six million, ninety-one thousand, five hundred sixty-eight".