16445587818240 has 1728 divisors, whose sum is σ = 71869645854720. Its totient is φ = 3486992302080.

The previous prime is 16445587818197. The next prime is 16445587818259. The reversal of 16445587818240 is 4281878554461.

16445587818240 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 5 + 587 + 8 + 1 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 4963954824 + ... + 4963958136.

It is an arithmetic number, because the mean of its divisors is an integer number (41591230240).

Almost surely, 2^{16445587818240} is an apocalyptic number.

16445587818240 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 16445587818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35934822927360).

16445587818240 is an abundant number, since it is smaller than the sum of its proper divisors (55424058036480).

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

16445587818240 is a wasteful number, since it uses less digits than its factorization.

16445587818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 16445587818240 in words is "sixteen trillion, four hundred forty-five billion, five hundred eighty-seven million, eight hundred eighteen thousand, two hundred forty".