36160508160 has 576 divisors, whose sum is σ = 154389043200. Its totient is φ = 7829250048.

The previous prime is 36160508119. The next prime is 36160508201. The reversal of 36160508160 is 6180506163.

It is a happy number.

36160508160 is a `hidden beast` number, since 36 + 1 + 60 + 508 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (36160508119) and next prime (36160508201).

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592547 + ... + 4600413.

Almost surely, 2^36160508160 is an apocalyptic number.

36160508160 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 36160508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77194521600).

36160508160 is an abundant number, since it is smaller than the sum of its proper divisors (118228535040).

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

36160508160 is a wasteful number, since it uses less digits than its factorization.

36160508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 36160508160 in words is "thirty-six billion, one hundred sixty million, five hundred eight thousand, one hundred sixty".