20300819272704 has 264 divisors, whose sum is σ = 58880665226240. Its totient is φ = 6736678502400.

The previous prime is 20300819272691. The next prime is 20300819272711. The reversal of 20300819272704 is 40727291800302.

20300819272704 is a `hidden beast` number, since 2 + 0 + 300 + 8 + 1 + 9 + 272 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20300819272704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4393163514 + ... + 4393168134.

Almost surely, 2^{20300819272704} is an apocalyptic number.

20300819272704 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 20300819272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440332613120).

20300819272704 is an abundant number, since it is smaller than the sum of its proper divisors (38579845953536).

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

20300819272704 is a wasteful number, since it uses less digits than its factorization.

20300819272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20300819272704 in words is "twenty trillion, three hundred billion, eight hundred nineteen million, two hundred seventy-two thousand, seven hundred four".