20182586513778 has 320 divisors, whose sum is σ = 52099811850240. Its totient is φ = 5787730827648.

The previous prime is 20182586513737. The next prime is 20182586513801. The reversal of 20182586513778 is 87731568528102.

20182586513778 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 258 + 6 + 5 + 1 + 377 + 8 = 666.

It is a super-3 number, since 3×20182586513778³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2217131175 + ... + 2217140277.

It is an arithmetic number, because the mean of its divisors is an integer number (162811912032).

Almost surely, 2^{20182586513778} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20182586513778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049905925120).

20182586513778 is an abundant number, since it is smaller than the sum of its proper divisors (31917225336462).

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

20182586513778 is a wasteful number, since it uses less digits than its factorization.

20182586513778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 20182586513778 in words is "twenty trillion, one hundred eighty-two billion, five hundred eighty-six million, five hundred thirteen thousand, seven hundred seventy-eight".