18893037596160 has 960 divisors, whose sum is σ = 78273980769600. Its totient is φ = 3848738439168.

The previous prime is 18893037596149. The next prime is 18893037596161. The reversal of 18893037596160 is 6169573039881.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 18893037596091 and 18893037596100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18893037596161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141806056 + ... + 141939224.

It is an arithmetic number, because the mean of its divisors is an integer number (81535396635).

Almost surely, 2^{18893037596160} is an apocalyptic number.

18893037596160 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 18893037596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39136990384800).

18893037596160 is an abundant number, since it is smaller than the sum of its proper divisors (59380943173440).

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

18893037596160 is a wasteful number, since it uses less digits than its factorization.

18893037596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133251 (or 133228 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 18893037596160 in words is "eighteen trillion, eight hundred ninety-three billion, thirty-seven million, five hundred ninety-six thousand, one hundred sixty".