18009696038400 has 1200 divisors, whose sum is σ = 72897442635600. Its totient is φ = 4355024486400.

The previous prime is 18009696038393. The next prime is 18009696038419. The reversal of 18009696038400 is 483069690081.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5120753442 + ... + 5120756958.

It is an arithmetic number, because the mean of its divisors is an integer number (60747868863).

Almost surely, 2^{18009696038400} is an apocalyptic number.

18009696038400 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 18009696038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36448721317800).

18009696038400 is an abundant number, since it is smaller than the sum of its proper divisors (54887746597200).

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

18009696038400 is a wasteful number, since it uses less digits than its factorization.

18009696038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18009696038400 in words is "eighteen trillion, nine billion, six hundred ninety-six million, thirty-eight thousand, four hundred".