18750628512 has 648 divisors, whose sum is σ = 69538996800. Its totient is φ = 4774049280.

The previous prime is 18750628423. The next prime is 18750628529. The reversal of 18750628512 is 21582605781.

18750628512 is a `hidden beast` number, since 1 + 8 + 7 + 5 + 0 + 628 + 5 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 134896539 + ... + 134896677.

Almost surely, 2^18750628512 is an apocalyptic number.

18750628512 is a gapful number since it is divisible by the number (12) 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 18750628512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34769498400).

18750628512 is an abundant number, since it is smaller than the sum of its proper divisors (50788368288).

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

18750628512 is a wasteful number, since it uses less digits than its factorization.

18750628512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 18750628512 in words is "eighteen billion, seven hundred fifty million, six hundred twenty-eight thousand, five hundred twelve".