36500820048 has 1280 divisors, whose sum is σ = 149933260800. Its totient is φ = 8314099200.

The previous prime is 36500820019. The next prime is 36500820049. The reversal of 36500820048 is 84002800563.

36500820048 is a `hidden beast` number, since 36 + 500 + 82 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36500819994 and 36500820021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36500820049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1177445793 + ... + 1177445823.

It is an arithmetic number, because the mean of its divisors is an integer number (117135360).

Almost surely, 2^36500820048 is an apocalyptic number.

36500820048 is a gapful number since it is divisible by the number (38) 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 36500820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74966630400).

36500820048 is an abundant number, since it is smaller than the sum of its proper divisors (113432440752).

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

36500820048 is a wasteful number, since it uses less digits than its factorization.

36500820048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 36500820048 in words is "thirty-six billion, five hundred million, eight hundred twenty thousand, forty-eight".