36856546560 has 864 divisors, whose sum is σ = 144945763200. Its totient is φ = 8838512640.

The previous prime is 36856546459. The next prime is 36856546619. The reversal of 36856546560 is 6564565863.

36856546560 is a `hidden beast` number, since 3 + 68 + 5 + 65 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36856546497 and 36856546506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898940140 + ... + 898940180.

It is an arithmetic number, because the mean of its divisors is an integer number (167761300).

Almost surely, 2^36856546560 is an apocalyptic number.

36856546560 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 36856546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72472881600).

36856546560 is an abundant number, since it is smaller than the sum of its proper divisors (108089216640).

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

36856546560 is a wasteful number, since it uses less digits than its factorization.

36856546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 36856546560 in words is "thirty-six billion, eight hundred fifty-six million, five hundred forty-six thousand, five hundred sixty".