36150980669568 has 200 divisors, whose sum is σ = 108029297703855. Its totient is φ = 12050326889856.

The previous prime is 36150980669549. The next prime is 36150980669707. The reversal of 36150980669568 is 86596608905163.

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.

36150980669568 is a `hidden beast` number, since 3 + 6 + 1 + 50 + 9 + 8 + 0 + 6 + 6 + 9 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18075490334784 + 18075490334784 = 4251528^2 + 4251528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4251528.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36150980669496 and 36150980669505.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 12050326889855 + 12050326889856 + 12050326889857.

Almost surely, 2^{36150980669568} 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 36150980669568

36150980669568 is an abundant number, since it is smaller than the sum of its proper divisors (71878317034287).

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

36150980669568 is an frugal number, since it uses more digits than its factorization.

36150980669568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

36150980669568 divided by its sum of digits (72) gives a square (502096953744 = 708588²).

The spelling of 36150980669568 in words is "thirty-six trillion, one hundred fifty billion, nine hundred eighty million, six hundred sixty-nine thousand, five hundred sixty-eight".