36400181856000 has 288 divisors, whose sum is σ = 128015162952768. Its totient is φ = 9135731507200.

The previous prime is 36400181855987. The next prime is 36400181856029. The reversal of 36400181856000 is 65818100463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9520017 + ... + 12784016.

It is an arithmetic number, because the mean of its divisors is an integer number (444497093586).

Almost surely, 2^{36400181856000} is an apocalyptic number.

36400181856000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36400181856000 is an abundant number, since it is smaller than the sum of its proper divisors (91614981096768).

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

36400181856000 is a wasteful number, since it uses less digits than its factorization.

36400181856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304084 (or 22304060 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

Adding to 36400181856000 its reverse (65818100463), we get a palindrome (36465999956463).

The spelling of 36400181856000 in words is "thirty-six trillion, four hundred billion, one hundred eighty-one million, eight hundred fifty-six thousand".