20386624624128 has 640 divisors, whose sum is σ = 73370851107840. Its totient is φ = 5456043048960.

The previous prime is 20386624624099. The next prime is 20386624624129. The reversal of 20386624624128 is 82142642668302.

20386624624128 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 6 + 6 + 2 + 4 + 624 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×20386624624128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20386624624129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347077450 + ... + 347136182.

It is an arithmetic number, because the mean of its divisors is an integer number (114641954856).

Almost surely, 2^{20386624624128} is an apocalyptic number.

20386624624128 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 20386624624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36685425553920).

20386624624128 is an abundant number, since it is smaller than the sum of its proper divisors (52984226483712).

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

20386624624128 is a wasteful number, since it uses less digits than its factorization.

20386624624128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58995 (or 58973 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 20386624624128 in words is "twenty trillion, three hundred eighty-six billion, six hundred twenty-four million, six hundred twenty-four thousand, one hundred twenty-eight".