36582065520 has 960 divisors, whose sum is σ = 156043345920. Its totient is φ = 6897623040.

The previous prime is 36582065497. The next prime is 36582065521. The reversal of 36582065520 is 2556028563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36582065521) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 288047697 + ... + 288047823.

It is an arithmetic number, because the mean of its divisors is an integer number (162545152).

Almost surely, 2^36582065520 is an apocalyptic number.

36582065520 is a gapful number since it is divisible by the number (30) 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 36582065520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78021672960).

36582065520 is an abundant number, since it is smaller than the sum of its proper divisors (119461280400).

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

36582065520 is a wasteful number, since it uses less digits than its factorization.

36582065520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 36582065520 in words is "thirty-six billion, five hundred eighty-two million, sixty-five thousand, five hundred twenty".