36396160000 has 440 divisors, whose sum is σ = 98416402920. Its totient is φ = 13418496000.

The previous prime is 36396159991. The next prime is 36396160019. The reversal of 36396160000 is 6169363.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 29134393344 + 7261766656 = 170688^2 + 85216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686719974 + ... + 686720026.

It is an arithmetic number, because the mean of its divisors is an integer number (223673643).

Almost surely, 2^36396160000 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 36396160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49208201460).

36396160000 is an abundant number, since it is smaller than the sum of its proper divisors (62020242920).

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

36396160000 is an equidigital number, since it uses as much as digits as its factorization.

36396160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 36396160000 in words is "thirty-six billion, three hundred ninety-six million, one hundred sixty thousand".