18170873587440 has 960 divisors, whose sum is σ = 74628409190400. Its totient is φ = 3870026366976.

The previous prime is 18170873587369. The next prime is 18170873587481. The reversal of 18170873587440 is 4478537807181.

18170873587440 is a `hidden beast` number, since 1 + 8 + 1 + 7 + 0 + 8 + 7 + 3 + 587 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1644863997 + ... + 1644875043.

It is an arithmetic number, because the mean of its divisors is an integer number (77737926240).

Almost surely, 2^{18170873587440} is an apocalyptic number.

18170873587440 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 18170873587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37314204595200).

18170873587440 is an abundant number, since it is smaller than the sum of its proper divisors (56457535602960).

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

18170873587440 is a wasteful number, since it uses less digits than its factorization.

18170873587440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 18170873587440 in words is "eighteen trillion, one hundred seventy billion, eight hundred seventy-three million, five hundred eighty-seven thousand, four hundred forty".