36002873088 has 1296 divisors, whose sum is σ = 145835393760. Its totient is φ = 8695185408.

The previous prime is 36002873077. The next prime is 36002873111. The reversal of 36002873088 is 88037820063.

36002873088 is a `hidden beast` number, since 3 + 60 + 0 + 287 + 308 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 973050606 + ... + 973050642.

It is an arithmetic number, because the mean of its divisors is an integer number (112527310).

Almost surely, 2^36002873088 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 36002873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72917696880).

36002873088 is an abundant number, since it is smaller than the sum of its proper divisors (109832520672).

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

36002873088 is a wasteful number, since it uses less digits than its factorization.

36002873088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 36002873088 in words is "thirty-six billion, two million, eight hundred seventy-three thousand, eighty-eight".