18196001280 has 480 divisors, whose sum is σ = 66040706160. Its totient is φ = 4624220160.

The previous prime is 18196001267. The next prime is 18196001281. The reversal of 18196001280 is 8210069181.

18196001280 is a `hidden beast` number, since 18 + 19 + 600 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4691702016 + 13504299264 = 68496^2 + 116208^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18196001281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75501960 + ... + 75502200.

Almost surely, 2^18196001280 is an apocalyptic number.

18196001280 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 18196001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020353080).

18196001280 is an abundant number, since it is smaller than the sum of its proper divisors (47844704880).

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

18196001280 is a wasteful number, since it uses less digits than its factorization.

18196001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 18196001280 in words is "eighteen billion, one hundred ninety-six million, one thousand, two hundred eighty".