20182301580672 has 1152 divisors, whose sum is σ = 76515821424000. Its totient is φ = 5217860229120.

The previous prime is 20182301580641. The next prime is 20182301580697. The reversal of 20182301580672 is 27608510328102.

20182301580672 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 2 + 3 + 0 + 1 + 580 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×20182301580672³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4651369479 + ... + 4651373817.

It is an arithmetic number, because the mean of its divisors is an integer number (66419983875).

Almost surely, 2^{20182301580672} is an apocalyptic number.

20182301580672 is a gapful number since it is divisible by the number (22) 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 20182301580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38257910712000).

20182301580672 is an abundant number, since it is smaller than the sum of its proper divisors (56333519843328).

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

20182301580672 is a wasteful number, since it uses less digits than its factorization.

20182301580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20182301580672 in words is "twenty trillion, one hundred eighty-two billion, three hundred one million, five hundred eighty thousand, six hundred seventy-two".