36561783258 has 648 divisors, whose sum is σ = 116701337844. Its totient is φ = 8190927360.

The previous prime is 36561783241. The next prime is 36561783281. The reversal of 36561783258 is 85238716563.

36561783258 is a `hidden beast` number, since 3 + 6 + 561 + 78 + 3 + 2 + 5 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35617880529 + 943902729 = 188727^2 + 30723^2 .

Its product of digits (7257600) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 500846310 + ... + 500846382.

Almost surely, 2^36561783258 is an apocalyptic number.

36561783258 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561783258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350668922).

36561783258 is an abundant number, since it is smaller than the sum of its proper divisors (80139554586).

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

36561783258 is a wasteful number, since it uses less digits than its factorization.

36561783258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 36561783258 in words is "thirty-six billion, five hundred sixty-one million, seven hundred eighty-three thousand, two hundred fifty-eight".