20580454400 has 312 divisors, whose sum is σ = 56504532288. Its totient is φ = 7434240000.

The previous prime is 20580454393. The next prime is 20580454457. The reversal of 20580454400 is 445408502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136294325 + ... + 136294475.

Almost surely, 2^20580454400 is an apocalyptic number.

20580454400 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 20580454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252266144).

20580454400 is an abundant number, since it is smaller than the sum of its proper divisors (35924077888).

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

20580454400 is an equidigital number, since it uses as much as digits as its factorization.

20580454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 20580454400 in words is "twenty billion, five hundred eighty million, four hundred fifty-four thousand, four hundred".