20430125420544 has 1248 divisors, whose sum is σ = 74166959892480. Its totient is φ = 5489146331136.

The previous prime is 20430125420491. The next prime is 20430125420557. The reversal of 20430125420544 is 44502452103402.

20430125420544 is a `hidden beast` number, since 2 + 0 + 4 + 30 + 12 + 54 + 20 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20430125420499 and 20430125420508.

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, 20783443477 + ... + 20783444459.

It is an arithmetic number, because the mean of its divisors is an integer number (59428653760).

Almost surely, 2^{20430125420544} is an apocalyptic number.

20430125420544 is a gapful number since it is divisible by the number (24) 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 20430125420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37083479946240).

20430125420544 is an abundant number, since it is smaller than the sum of its proper divisors (53736834471936).

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

20430125420544 is an equidigital number, since it uses as much as digits as its factorization.

20430125420544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 20430125420544 its reverse (44502452103402), we get a palindrome (64932577523946).

The spelling of 20430125420544 in words is "twenty trillion, four hundred thirty billion, one hundred twenty-five million, four hundred twenty thousand, five hundred forty-four".