16356090240 has 960 divisors, whose sum is σ = 69899163840. Its totient is φ = 3632283648.

The previous prime is 16356090229. The next prime is 16356090259. The reversal of 16356090240 is 4209065361.

It is a happy number.

16356090240 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 609 + 0 + 2 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16356090195 and 16356090204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 119387452 + ... + 119387588.

It is an arithmetic number, because the mean of its divisors is an integer number (72811629).

Almost surely, 2^16356090240 is an apocalyptic number.

16356090240 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 16356090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34949581920).

16356090240 is an abundant number, since it is smaller than the sum of its proper divisors (53543073600).

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

16356090240 is a wasteful number, since it uses less digits than its factorization.

16356090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16356090240 in words is "sixteen billion, three hundred fifty-six million, ninety thousand, two hundred forty".