18100535400000 has 1008 divisors, whose sum is σ = 70178280052608. Its totient is φ = 4616663040000.

The previous prime is 18100535399923. The next prime is 18100535400019. The reversal of 18100535400000 is 453500181.

18100535400000 is a `hidden beast` number, since 18 + 100 + 5 + 3 + 540 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1117791904 + ... + 1117808096.

It is an arithmetic number, because the mean of its divisors is an integer number (69621309576).

Almost surely, 2^{18100535400000} is an apocalyptic number.

18100535400000 is a gapful number since it is divisible by the number (10) 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 18100535400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089140026304).

18100535400000 is an abundant number, since it is smaller than the sum of its proper divisors (52077744652608).

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

18100535400000 is an frugal number, since it uses more digits than its factorization.

18100535400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16268 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 18100535400000 its reverse (453500181), we get a palindrome (18100988900181).

The spelling of 18100535400000 in words is "eighteen trillion, one hundred billion, five hundred thirty-five million, four hundred thousand".