17955780820992 has 504 divisors, whose sum is σ = 61484306572416. Its totient is φ = 5129713483776.

The previous prime is 17955780820969. The next prime is 17955780820993. The reversal of 17955780820992 is 29902808755971.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 17955780820992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17955780820993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783622743 + ... + 1783632809.

Almost surely, 2^{17955780820992} is an apocalyptic number.

17955780820992 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 17955780820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742153286208).

17955780820992 is an abundant number, since it is smaller than the sum of its proper divisors (43528525751424).

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

17955780820992 is an frugal number, since it uses more digits than its factorization.

17955780820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 17955780820992 in words is "seventeen trillion, nine hundred fifty-five billion, seven hundred eighty million, eight hundred twenty thousand, nine hundred ninety-two".