36225682560 has 192 divisors, whose sum is σ = 125210811960. Its totient is φ = 9650995200.

The previous prime is 36225682531. The next prime is 36225682573. The reversal of 36225682560 is 6528652263.

36225682560 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 5 + 6 + 82 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20895280704 + 15330401856 = 144552^2 + 123816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 7837050 + ... + 7841670.

Almost surely, 2^36225682560 is an apocalyptic number.

36225682560 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 36225682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62605405980).

36225682560 is an abundant number, since it is smaller than the sum of its proper divisors (88985129400).

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

36225682560 is a wasteful number, since it uses less digits than its factorization.

36225682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 36225682560 in words is "thirty-six billion, two hundred twenty-five million, six hundred eighty-two thousand, five hundred sixty".