18928968938880 has 1024 divisors, whose sum is σ = 81335516774400. Its totient is φ = 3616174080000.

The previous prime is 18928968938879. The next prime is 18928968938897. The reversal of 18928968938880 is 8883986982981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482382301 + ... + 482421539.

It is an arithmetic number, because the mean of its divisors is an integer number (79429215600).

Almost surely, 2^{18928968938880} is an apocalyptic number.

18928968938880 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 18928968938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40667758387200).

18928968938880 is an abundant number, since it is smaller than the sum of its proper divisors (62406547835520).

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

18928968938880 is a wasteful number, since it uses less digits than its factorization.

18928968938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39543 (or 39531 counting only the distinct ones).

The product of its (nonzero) digits is 6879707136, while the sum is 87.

The spelling of 18928968938880 in words is "eighteen trillion, nine hundred twenty-eight billion, nine hundred sixty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".