20258484480 has 576 divisors, whose sum is σ = 78691710720. Its totient is φ = 4904976384.

The previous prime is 20258484461. The next prime is 20258484487. The reversal of 20258484480 is 8448485202.

20258484480 is a `hidden beast` number, since 20 + 2 + 584 + 8 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20258484487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30101424 + ... + 30102096.

Almost surely, 2^20258484480 is an apocalyptic number.

20258484480 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 20258484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39345855360).

20258484480 is an abundant number, since it is smaller than the sum of its proper divisors (58433226240).

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

20258484480 is a wasteful number, since it uses less digits than its factorization.

20258484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 20258484480 in words is "twenty billion, two hundred fifty-eight million, four hundred eighty-four thousand, four hundred eighty".