1993825642752 has 360 divisors, whose sum is σ = 6209949493440. Its totient is φ = 635074007040.

The previous prime is 1993825642741. The next prime is 1993825642771. The reversal of 1993825642752 is 2572465283991.

1993825642752 is a `hidden beast` number, since 19 + 9 + 3 + 8 + 2 + 564 + 2 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1993825642752.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 773098999 + ... + 773101577.

It is an arithmetic number, because the mean of its divisors is an integer number (17249859704).

Almost surely, 2^{1993825642752} is an apocalyptic number.

1993825642752 is a gapful number since it is divisible by the number (12) 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 1993825642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104974746720).

1993825642752 is an abundant number, since it is smaller than the sum of its proper divisors (4216123850688).

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

1993825642752 is a wasteful number, since it uses less digits than its factorization.

1993825642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4228 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 1993825642752 in words is "one trillion, nine hundred ninety-three billion, eight hundred twenty-five million, six hundred forty-two thousand, seven hundred fifty-two".