20430775667148 has 384 divisors, whose sum is σ = 61534461542400. Its totient is φ = 5229258048000.

The previous prime is 20430775667087. The next prime is 20430775667161. The reversal of 20430775667148 is 84176657703402.

It is a super-2 number, since 2×20430775667148² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20430775667091 and 20430775667100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4994076583 + ... + 4994080673.

It is an arithmetic number, because the mean of its divisors is an integer number (160245993600).

Almost surely, 2^{20430775667148} is an apocalyptic number.

20430775667148 is a gapful number since it is divisible by the number (28) 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 20430775667148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767230771200).

20430775667148 is an abundant number, since it is smaller than the sum of its proper divisors (41103685875252).

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

20430775667148 is a wasteful number, since it uses less digits than its factorization.

20430775667148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

It can be divided in two parts, 20430 and 775667148, that added together give a triangular number (775687578 = T₃₉₃₈₇).

The spelling of 20430775667148 in words is "twenty trillion, four hundred thirty billion, seven hundred seventy-five million, six hundred sixty-seven thousand, one hundred forty-eight".