18728049960 has 256 divisors, whose sum is σ = 66396960000. Its totient is φ = 4682520576.

The previous prime is 18728049959. The next prime is 18728049961. The reversal of 18728049960 is 6994082781.

18728049960 is a `hidden beast` number, since 1 + 8 + 72 + 80 + 499 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18728049959) and next prime (18728049961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18728049897 and 18728049906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18728049961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193072632 + ... + 193072728.

It is an arithmetic number, because the mean of its divisors is an integer number (259363125).

Almost surely, 2^18728049960 is an apocalyptic number.

18728049960 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 18728049960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33198480000).

18728049960 is an abundant number, since it is smaller than the sum of its proper divisors (47668910040).

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

18728049960 is an frugal number, since it uses more digits than its factorization.

18728049960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18728049960 in words is "eighteen billion, seven hundred twenty-eight million, forty-nine thousand, nine hundred sixty".