36523888128 has 720 divisors, whose sum is σ = 138048726816. Its totient is φ = 9196830720.

The previous prime is 36523888117. The next prime is 36523888129. The reversal of 36523888128 is 82188832563.

36523888128 is a `hidden beast` number, since 36 + 523 + 8 + 8 + 81 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36523888129) 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 71 ways as a sum of consecutive naturals, for example, 67511538 + ... + 67512078.

Almost surely, 2^36523888128 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 36523888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69024363408).

36523888128 is an abundant number, since it is smaller than the sum of its proper divisors (101524838688).

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

36523888128 is a wasteful number, since it uses less digits than its factorization.

36523888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 589 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 36523888128 in words is "thirty-six billion, five hundred twenty-three million, eight hundred eighty-eight thousand, one hundred twenty-eight".