20058451846272 has 768 divisors, whose sum is σ = 69411904128000. Its totient is φ = 5685731573760.

The previous prime is 20058451846201. The next prime is 20058451846291. The reversal of 20058451846272 is 27264815485002.

20058451846272 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 8 + 4 + 5 + 1 + 8 + 4 + 627 + 2 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 12800542833 + ... + 12800544399.

It is an arithmetic number, because the mean of its divisors is an integer number (90380083500).

Almost surely, 2^{20058451846272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20058451846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34705952064000).

20058451846272 is an abundant number, since it is smaller than the sum of its proper divisors (49353452281728).

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

20058451846272 is a wasteful number, since it uses less digits than its factorization.

20058451846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 20058451846272 in words is "twenty trillion, fifty-eight billion, four hundred fifty-one million, eight hundred forty-six thousand, two hundred seventy-two".