18728421754560 has 896 divisors, whose sum is σ = 71576954339328. Its totient is φ = 4056459264000.

The previous prime is 18728421754531. The next prime is 18728421754571. The reversal of 18728421754560 is 6545712482781.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18728421754494 and 18728421754503.

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, 8000178990 + ... + 8000181330.

Almost surely, 2^{18728421754560} is an apocalyptic number.

18728421754560 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 18728421754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35788477169664).

18728421754560 is an abundant number, since it is smaller than the sum of its proper divisors (52848532584768).

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

18728421754560 is a wasteful number, since it uses less digits than its factorization.

18728421754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 18728421754560 in words is "eighteen trillion, seven hundred twenty-eight billion, four hundred twenty-one million, seven hundred fifty-four thousand, five hundred sixty".