16545730224240 has 960 divisors, whose sum is σ = 69259687096320. Its totient is φ = 3615730513920.

The previous prime is 16545730224223. The next prime is 16545730224329. The reversal of 16545730224240 is 4242203754561.

16545730224240 is a `hidden beast` number, since 1 + 6 + 54 + 57 + 302 + 2 + 4 + 240 = 666.

It is a super-2 number, since 2×16545730224240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 272295942 + ... + 272356698.

It is an arithmetic number, because the mean of its divisors is an integer number (72145507392).

Almost surely, 2^{16545730224240} is an apocalyptic number.

16545730224240 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 16545730224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34629843548160).

16545730224240 is an abundant number, since it is smaller than the sum of its proper divisors (52713956872080).

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

16545730224240 is a wasteful number, since it uses less digits than its factorization.

16545730224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60907 (or 60888 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 16545730224240 in words is "sixteen trillion, five hundred forty-five billion, seven hundred thirty million, two hundred twenty-four thousand, two hundred forty".