36561525552064 has 112 divisors (see below), whose sum is σ = 75198098747520. Its totient is φ = 17616422476800.

The previous prime is 36561525552011. The next prime is 36561525552113. The reversal of 36561525552064 is 46025552516563.

It is a junction number, because it is equal to n+sod(n) for n = 36561525551996 and 36561525552014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311855567 + ... + 5311862449.

It is an arithmetic number, because the mean of its divisors is an integer number (671411595960).

Almost surely, 2^{36561525552064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561525552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37599049373760).

36561525552064 is an abundant number, since it is smaller than the sum of its proper divisors (38636573195456).

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

36561525552064 is a wasteful number, since it uses less digits than its factorization.

36561525552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 55.

The spelling of 36561525552064 in words is "thirty-six trillion, five hundred sixty-one billion, five hundred twenty-five million, five hundred fifty-two thousand, sixty-four".