36561102000 has 160 divisors (see below), whose sum is σ = 118162437120. Its totient is φ = 9725689600.

The previous prime is 36561101939. The next prime is 36561102001. The reversal of 36561102000 is 20116563.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36561102001) by changing a digit.

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, 2506729 + ... + 2521271.

It is an arithmetic number, because the mean of its divisors is an integer number (738515232).

Almost surely, 2^36561102000 is an apocalyptic number.

36561102000 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 36561102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59081218560).

36561102000 is an abundant number, since it is smaller than the sum of its proper divisors (81601335120).

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

36561102000 is a wasteful number, since it uses less digits than its factorization.

36561102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 36561102000 its reverse (20116563), we get a palindrome (36581218563).

The spelling of 36561102000 in words is "thirty-six billion, five hundred sixty-one million, one hundred two thousand".