18513100800000 has 1596 divisors, whose sum is σ = 71626127009472. Its totient is φ = 4777574400000.

The previous prime is 18513100799981. The next prime is 18513100800053. The reversal of 18513100800000 is 800131581.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 597196799985 + ... + 597196800015.

Almost surely, 2^{18513100800000} is an apocalyptic number.

18513100800000 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 18513100800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35813063504736).

18513100800000 is an abundant number, since it is smaller than the sum of its proper divisors (53113026209472).

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

18513100800000 is an frugal number, since it uses more digits than its factorization.

18513100800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 18513100800000 its reverse (800131581), we get a palindrome (18513900931581).

The spelling of 18513100800000 in words is "eighteen trillion, five hundred thirteen billion, one hundred million, eight hundred thousand".