20430626544 has 160 divisors (see below), whose sum is σ = 59870761280. Its totient is φ = 6668697600.

The previous prime is 20430626543. The next prime is 20430626549. The reversal of 20430626544 is 44562603402.

20430626544 is a `hidden beast` number, since 20 + 4 + 3 + 0 + 626 + 5 + 4 + 4 = 666.

It is a super-3 number, since 3×20430626544³ (a number of 32 digits) contains 333 as substring.

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 = 20430626499 and 20430626508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430626543) 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, 6349224 + ... + 6352440.

It is an arithmetic number, because the mean of its divisors is an integer number (374192258).

Almost surely, 2^20430626544 is an apocalyptic number.

20430626544 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 20430626544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29935380640).

20430626544 is an abundant number, since it is smaller than the sum of its proper divisors (39440134736).

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

20430626544 is a wasteful number, since it uses less digits than its factorization.

20430626544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20430626544 in words is "twenty billion, four hundred thirty million, six hundred twenty-six thousand, five hundred forty-four".