16522418399040 has 336 divisors, whose sum is σ = 57202090807680. Its totient is φ = 4377178091520.

The previous prime is 16522418398979. The next prime is 16522418399089. The reversal of 16522418399040 is 4099381422561.

It is a happy number.

16522418399040 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 241 + 8 + 399 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975859375 + ... + 975876305.

It is an arithmetic number, because the mean of its divisors is an integer number (170244317880).

Almost surely, 2^{16522418399040} is an apocalyptic number.

16522418399040 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 16522418399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28601045403840).

16522418399040 is an abundant number, since it is smaller than the sum of its proper divisors (40679672408640).

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

16522418399040 is a wasteful number, since it uses less digits than its factorization.

16522418399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19150 (or 19137 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16522418399040 in words is "sixteen trillion, five hundred twenty-two billion, four hundred eighteen million, three hundred ninety-nine thousand, forty".