36561525203340 has 288 divisors, whose sum is σ = 120626840355840. Its totient is φ = 8938356438528.

The previous prime is 36561525203311. The next prime is 36561525203341. The reversal of 36561525203340 is 4330252516563.

36561525203340 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 1 + 52 + 520 + 33 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36561525203341) 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 95 ways as a sum of consecutive naturals, for example, 8481841 + ... + 12044279.

It is an arithmetic number, because the mean of its divisors is an integer number (418843195680).

Almost surely, 2^{36561525203340} is an apocalyptic number.

36561525203340 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 36561525203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60313420177920).

36561525203340 is an abundant number, since it is smaller than the sum of its proper divisors (84065315152500).

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

36561525203340 is a wasteful number, since it uses less digits than its factorization.

36561525203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562581 (or 3562576 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 36561525203340 in words is "thirty-six trillion, five hundred sixty-one billion, five hundred twenty-five million, two hundred three thousand, three hundred forty".