36161199360 has 1008 divisors, whose sum is σ = 153133602048. Its totient is φ = 8062156800.

The previous prime is 36161199317. The next prime is 36161199397. The reversal of 36161199360 is 6399116163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 133436025 + ... + 133436295.

It is an arithmetic number, because the mean of its divisors is an integer number (151918256).

Almost surely, 2^36161199360 is an apocalyptic number.

36161199360 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 36161199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76566801024).

36161199360 is an abundant number, since it is smaller than the sum of its proper divisors (116972402688).

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

36161199360 is a wasteful number, since it uses less digits than its factorization.

36161199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 36161199360 in words is "thirty-six billion, one hundred sixty-one million, one hundred ninety-nine thousand, three hundred sixty".