18015897968640 has 3360 divisors, whose sum is σ = 80238647402496. Its totient is φ = 3825881579520.

The previous prime is 18015897968611. The next prime is 18015897968641. The reversal of 18015897968640 is 4686979851081.

It is a super-3 number, since 3×18015897968640³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18015897968641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141857464257 + ... + 141857464383.

Almost surely, 2^{18015897968640} is an apocalyptic number.

18015897968640 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 18015897968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40119323701248).

18015897968640 is an abundant number, since it is smaller than the sum of its proper divisors (62222749433856).

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

18015897968640 is a wasteful number, since it uses less digits than its factorization.

18015897968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 18015897968640 in words is "eighteen trillion, fifteen billion, eight hundred ninety-seven million, nine hundred sixty-eight thousand, six hundred forty".