20305056000 has 288 divisors, whose sum is σ = 67787935488. Its totient is φ = 5387059200.

The previous prime is 20305055999. The next prime is 20305056001. The reversal of 20305056000 is 65050302.

It is an interprime number because it is at equal distance from previous prime (20305055999) and next prime (20305056001).

It is not an unprimeable number, because it can be changed into a prime (20305056001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24671589 + ... + 24672411.

It is an arithmetic number, because the mean of its divisors is an integer number (235374776).

Almost surely, 2^20305056000 is an apocalyptic number.

20305056000 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 20305056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33893967744).

20305056000 is an abundant number, since it is smaller than the sum of its proper divisors (47482879488).

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

20305056000 is an equidigital number, since it uses as much as digits as its factorization.

20305056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 20305056000 in words is "twenty billion, three hundred five million, fifty-six thousand".