20385930240 has 264 divisors, whose sum is σ = 76072546368. Its totient is φ = 5017927680.

The previous prime is 20385930233. The next prime is 20385930263. The reversal of 20385930240 is 4203958302.

20385930240 is a `hidden beast` number, since 2 + 0 + 385 + 9 + 30 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20385930195 and 20385930204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582025 + ... + 616055.

Almost surely, 2^20385930240 is an apocalyptic number.

20385930240 is a gapful number since it is divisible by the number (20) 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 20385930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38036273184).

20385930240 is an abundant number, since it is smaller than the sum of its proper divisors (55686616128).

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

20385930240 is a wasteful number, since it uses less digits than its factorization.

20385930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34075 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 20385 and 930240, that added together give a square (950625 = 975²).

The spelling of 20385930240 in words is "twenty billion, three hundred eighty-five million, nine hundred thirty thousand, two hundred forty".