36553282560 has 352 divisors, whose sum is σ = 131407574400. Its totient is φ = 9634775040.

The previous prime is 36553282543. The next prime is 36553282643. The reversal of 36553282560 is 6528235563.

36553282560 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 3 + 2 + 82 + 560 = 666.

It is a super-2 number, since 2×36553282560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12301875 + ... + 12304845.

Almost surely, 2^36553282560 is an apocalyptic number.

36553282560 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 36553282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65703787200).

36553282560 is an abundant number, since it is smaller than the sum of its proper divisors (94854291840).

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

36553282560 is a wasteful number, since it uses less digits than its factorization.

36553282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 36553282560 in words is "thirty-six billion, five hundred fifty-three million, two hundred eighty-two thousand, five hundred sixty".