1993955337360 has 480 divisors, whose sum is σ = 8281509949440. Its totient is φ = 435944830464.

The previous prime is 1993955337289. The next prime is 1993955337401. The reversal of 1993955337360 is 637335593991.

1993955337360 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 9 + 553 + 3 + 73 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2811301 + ... + 3448379.

It is an arithmetic number, because the mean of its divisors is an integer number (17253145728).

Almost surely, 2^{1993955337360} is an apocalyptic number.

1993955337360 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 1993955337360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140754974720).

1993955337360 is an abundant number, since it is smaller than the sum of its proper divisors (6287554612080).

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

1993955337360 is a wasteful number, since it uses less digits than its factorization.

1993955337360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637137 (or 637119 counting only the distinct ones).

The product of its (nonzero) digits is 62001450, while the sum is 63.

The spelling of 1993955337360 in words is "one trillion, nine hundred ninety-three billion, nine hundred fifty-five million, three hundred thirty-seven thousand, three hundred sixty".