20305716480 has 864 divisors, whose sum is σ = 87623827200. Its totient is φ = 4236115968.

The previous prime is 20305716463. The next prime is 20305716511. The reversal of 20305716480 is 8461750302.

20305716480 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 5 + 7 + 1 + 648 + 0 = 666.

It is a super-2 number, since 2×20305716480² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44432412 + ... + 44432868.

Almost surely, 2^20305716480 is an apocalyptic number.

20305716480 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 20305716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43811913600).

20305716480 is an abundant number, since it is smaller than the sum of its proper divisors (67318110720).

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

20305716480 is a wasteful number, since it uses less digits than its factorization.

20305716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20305716480 in words is "twenty billion, three hundred five million, seven hundred sixteen thousand, four hundred eighty".