36089544960 has 432 divisors, whose sum is σ = 143144426880. Its totient is φ = 8223621120.

The previous prime is 36089544899. The next prime is 36089544979. The reversal of 36089544960 is 6944598063.

36089544960 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 9 + 544 + 96 + 0 = 666.

It is a super-2 number, since 2×36089544960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36089544897 and 36089544906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42013011 + ... + 42013869.

It is an arithmetic number, because the mean of its divisors is an integer number (331352840).

Almost surely, 2^36089544960 is an apocalyptic number.

36089544960 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 36089544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572213440).

36089544960 is an abundant number, since it is smaller than the sum of its proper divisors (107054881920).

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

36089544960 is a wasteful number, since it uses less digits than its factorization.

36089544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36089544960 in words is "thirty-six billion, eighty-nine million, five hundred forty-four thousand, nine hundred sixty".