18985755600 has 540 divisors, whose sum is σ = 78456439776. Its totient is φ = 4236986880.

The previous prime is 18985755589. The next prime is 18985755617. The reversal of 18985755600 is 655758981.

18985755600 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 5 + 75 + 560 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 7583949 + ... + 7586451.

Almost surely, 2^18985755600 is an apocalyptic number.

18985755600 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 18985755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39228219888).

18985755600 is an abundant number, since it is smaller than the sum of its proper divisors (59470684176).

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

18985755600 is a wasteful number, since it uses less digits than its factorization.

18985755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 18985755600 in words is "eighteen billion, nine hundred eighty-five million, seven hundred fifty-five thousand, six hundred".