20335484160 has 1008 divisors, whose sum is σ = 81499676160. Its totient is φ = 4837294080.

The previous prime is 20335484153. The next prime is 20335484161. The reversal of 20335484160 is 6148453302.

20335484160 is a `hidden beast` number, since 20 + 33 + 548 + 4 + 1 + 60 = 666.

It is a super-2 number, since 2×20335484160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20335484161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 549607662 + ... + 549607698.

Almost surely, 2^20335484160 is an apocalyptic number.

20335484160 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 20335484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40749838080).

20335484160 is an abundant number, since it is smaller than the sum of its proper divisors (61164192000).

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

20335484160 is an equidigital number, since it uses as much as digits as its factorization.

20335484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20335484160 in words is "twenty billion, three hundred thirty-five million, four hundred eighty-four thousand, one hundred sixty".