36141078600 has 864 divisors, whose sum is σ = 145180395360. Its totient is φ = 8018841600.

The previous prime is 36141078599. The next prime is 36141078601. The reversal of 36141078600 is 687014163.

36141078600 is a `hidden beast` number, since 3 + 6 + 1 + 41 + 0 + 7 + 8 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (36141078599) and next prime (36141078601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36141078601) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 159211687 + ... + 159211913.

It is an arithmetic number, because the mean of its divisors is an integer number (168032865).

Almost surely, 2^36141078600 is an apocalyptic number.

36141078600 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 36141078600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72590197680).

36141078600 is an abundant number, since it is smaller than the sum of its proper divisors (109039316760).

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

36141078600 is a wasteful number, since it uses less digits than its factorization.

36141078600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 36141078600 in words is "thirty-six billion, one hundred forty-one million, seventy-eight thousand, six hundred".