20506346220 has 192 divisors, whose sum is σ = 64622638080. Its totient is φ = 4828004352.

The previous prime is 20506346219. The next prime is 20506346221. The reversal of 20506346220 is 2264360502.

It is an interprime number because it is at equal distance from previous prime (20506346219) and next prime (20506346221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20506346221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1991004 + ... + 2001276.

It is an arithmetic number, because the mean of its divisors is an integer number (336576240).

Almost surely, 2^20506346220 is an apocalyptic number.

20506346220 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 20506346220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32311319040).

20506346220 is an abundant number, since it is smaller than the sum of its proper divisors (44116291860).

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

20506346220 is a wasteful number, since it uses less digits than its factorization.

20506346220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 20506346220 in words is "twenty billion, five hundred six million, three hundred forty-six thousand, two hundred twenty".