1993930960896 has 1040 divisors, whose sum is σ = 7275547628800. Its totient is φ = 531457376256.

The previous prime is 1993930960883. The next prime is 1993930960907. The reversal of 1993930960896 is 6980690393991.

1993930960896 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 9 + 3 + 0 + 9 + 608 + 9 + 6 = 666.

It is a super-2 number, since 2×1993930960896² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3221212875 + ... + 3221213493.

Almost surely, 2^{1993930960896} is an apocalyptic number.

1993930960896 is a gapful number since it is divisible by the number (16) 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 1993930960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637773814400).

1993930960896 is an abundant number, since it is smaller than the sum of its proper divisors (5281616667904).

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

1993930960896 is an equidigital number, since it uses as much as digits as its factorization.

1993930960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 153055008, while the sum is 72.

The spelling of 1993930960896 in words is "one trillion, nine hundred ninety-three billion, nine hundred thirty million, nine hundred sixty thousand, eight hundred ninety-six".