1993256761200 has 360 divisors, whose sum is σ = 6748113093120. Its totient is φ = 502408972800.

The previous prime is 1993256761187. The next prime is 1993256761207. The reversal of 1993256761200 is 21676523991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993256761207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68768311 + ... + 68797289.

It is an arithmetic number, because the mean of its divisors is an integer number (18744758592).

Almost surely, 2^{1993256761200} is an apocalyptic number.

1993256761200 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 1993256761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374056546560).

1993256761200 is an abundant number, since it is smaller than the sum of its proper divisors (4754856331920).

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

1993256761200 is a wasteful number, since it uses less digits than its factorization.

1993256761200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29117 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 1993256761200 in words is "one trillion, nine hundred ninety-three billion, two hundred fifty-six million, seven hundred sixty-one thousand, two hundred".