1993255688736 has 384 divisors, whose sum is σ = 6817662432000. Its totient is φ = 560992739328.

The previous prime is 1993255688719. The next prime is 1993255688747. The reversal of 1993255688736 is 6378865523991.

1993255688736 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 25 + 568 + 8 + 7 + 36 = 666.

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

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, 6027796 + ... + 6349868.

It is an arithmetic number, because the mean of its divisors is an integer number (17754329250).

Almost surely, 2^{1993255688736} is an apocalyptic number.

1993255688736 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 1993255688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408831216000).

1993255688736 is an abundant number, since it is smaller than the sum of its proper divisors (4824406743264).

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

1993255688736 is a wasteful number, since it uses less digits than its factorization.

1993255688736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322153 (or 322139 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 1993255688736 in words is "one trillion, nine hundred ninety-three billion, two hundred fifty-five million, six hundred eighty-eight thousand, seven hundred thirty-six".