18954839520 has 432 divisors, whose sum is σ = 70626523968. Its totient is φ = 4624957440.

The previous prime is 18954839513. The next prime is 18954839521. The reversal of 18954839520 is 2593845981.

18954839520 is a `hidden beast` number, since 1 + 8 + 9 + 548 + 3 + 95 + 2 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18954839521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15397305 + ... + 15398535.

It is an arithmetic number, because the mean of its divisors is an integer number (163487324).

Almost surely, 2^18954839520 is an apocalyptic number.

18954839520 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 18954839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35313261984).

18954839520 is an abundant number, since it is smaller than the sum of its proper divisors (51671684448).

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

18954839520 is a wasteful number, since it uses less digits than its factorization.

18954839520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 18954839520 in words is "eighteen billion, nine hundred fifty-four million, eight hundred thirty-nine thousand, five hundred twenty".