36516888576 has 576 divisors, whose sum is σ = 129837942000. Its totient is φ = 9884270592.

The previous prime is 36516888571. The next prime is 36516888587. The reversal of 36516888576 is 67588861563.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36516888576 is a `hidden beast` number, since 3 + 6 + 51 + 6 + 8 + 8 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36516888571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1921941495 + ... + 1921941513.

Almost surely, 2^36516888576 is an apocalyptic number.

36516888576 is a gapful number since it is divisible by the number (36) 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 36516888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64918971000).

36516888576 is an abundant number, since it is smaller than the sum of its proper divisors (93321053424).

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

36516888576 is an frugal number, since it uses more digits than its factorization.

36516888576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 31 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 36516888576 in words is "thirty-six billion, five hundred sixteen million, eight hundred eighty-eight thousand, five hundred seventy-six".