201516430560 has 192 divisors, whose sum is σ = 676244443392. Its totient is φ = 50266054656.

The previous prime is 201516430541. The next prime is 201516430663. The reversal of 201516430560 is 65034615102.

201516430560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254327 + ... + 1405833.

It is an arithmetic number, because the mean of its divisors is an integer number (3522106476).

Almost surely, 2^201516430560 is an apocalyptic number.

201516430560 is a gapful number since it is divisible by the number (20) 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 201516430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338122221696).

201516430560 is an abundant number, since it is smaller than the sum of its proper divisors (474728012832).

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

201516430560 is a wasteful number, since it uses less digits than its factorization.

201516430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151705 (or 151697 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 201516430560 in words is "two hundred one billion, five hundred sixteen million, four hundred thirty thousand, five hundred sixty".