20420172681300 has 720 divisors, whose sum is σ = 76124395226880. Its totient is φ = 4638310594560.

The previous prime is 20420172681277. The next prime is 20420172681353. The reversal of 20420172681300 is 318627102402.

It is a happy number.

20420172681300 is a `hidden beast` number, since 2 + 0 + 4 + 201 + 72 + 6 + 81 + 300 = 666.

It is a super-2 number, since 2×20420172681300² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8547580506 + ... + 8547582894.

It is an arithmetic number, because the mean of its divisors is an integer number (105728326704).

Almost surely, 2^{20420172681300} is an apocalyptic number.

20420172681300 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 20420172681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38062197613440).

20420172681300 is an abundant number, since it is smaller than the sum of its proper divisors (55704222545580).

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

20420172681300 is a wasteful number, since it uses less digits than its factorization.

20420172681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 20420172681300 its reverse (318627102402), we get a palindrome (20738799783702).

The spelling of 20420172681300 in words is "twenty trillion, four hundred twenty billion, one hundred seventy-two million, six hundred eighty-one thousand, three hundred".