18928996241280 has 512 divisors, whose sum is σ = 63097621056000. Its totient is φ = 4820791492608.

The previous prime is 18928996241279. The next prime is 18928996241293. The reversal of 18928996241280 is 8214269982981.

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 63 ways as a sum of consecutive naturals, for example, 1984374751 + ... + 1984384289.

It is an arithmetic number, because the mean of its divisors is an integer number (123237541125).

Almost surely, 2^{18928996241280} is an apocalyptic number.

18928996241280 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 18928996241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31548810528000).

18928996241280 is an abundant number, since it is smaller than the sum of its proper divisors (44168624814720).

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

18928996241280 is a wasteful number, since it uses less digits than its factorization.

18928996241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 69.

The spelling of 18928996241280 in words is "eighteen trillion, nine hundred twenty-eight billion, nine hundred ninety-six million, two hundred forty-one thousand, two hundred eighty".