36158400000 has 840 divisors, whose sum is σ = 139758429888. Its totient is φ = 9331200000.

The previous prime is 36158399987. The next prime is 36158400001. The reversal of 36158400000 is 485163.

36158400000 is a `hidden beast` number, since 3 + 615 + 8 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36158400001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166399985 + ... + 1166400015.

Almost surely, 2^36158400000 is an apocalyptic number.

36158400000 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 36158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69879214944).

36158400000 is an abundant number, since it is smaller than the sum of its proper divisors (103600029888).

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

36158400000 is an frugal number, since it uses more digits than its factorization.

36158400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 36158400000 its reverse (485163), we get a palindrome (36158885163).

The spelling of 36158400000 in words is "thirty-six billion, one hundred fifty-eight million, four hundred thousand".