18792978781440 has 288 divisors, whose sum is σ = 61462831449600. Its totient is φ = 4892421980160.

The previous prime is 18792978781417. The next prime is 18792978781459. The reversal of 18792978781440 is 4418787929781.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26651010 + ... + 27347070.

It is an arithmetic number, because the mean of its divisors is an integer number (213412609200).

Almost surely, 2^{18792978781440} is an apocalyptic number.

18792978781440 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 18792978781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30731415724800).

18792978781440 is an abundant number, since it is smaller than the sum of its proper divisors (42669852668160).

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

18792978781440 is an equidigital number, since it uses as much as digits as its factorization.

18792978781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696253 (or 696239 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 75.

The spelling of 18792978781440 in words is "eighteen trillion, seven hundred ninety-two billion, nine hundred seventy-eight million, seven hundred eighty-one thousand, four hundred forty".