18989625600 has 1296 divisors, whose sum is σ = 82201863744. Its totient is φ = 4128768000.

The previous prime is 18989625593. The next prime is 18989625623. The reversal of 18989625600 is 652698981.

It is a happy number.

18989625600 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 9 + 6 + 25 + 600 = 666.

It is a super-3 number, since 3×18989625600³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441619179 + ... + 441619221.

It is an arithmetic number, because the mean of its divisors is an integer number (63427364).

Almost surely, 2^18989625600 is an apocalyptic number.

18989625600 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 18989625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41100931872).

18989625600 is an abundant number, since it is smaller than the sum of its proper divisors (63212238144).

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

18989625600 is a wasteful number, since it uses less digits than its factorization.

18989625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 189896 and 25600, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 18989625600 in words is "eighteen billion, nine hundred eighty-nine million, six hundred twenty-five thousand, six hundred".