201565979520 has 256 divisors, whose sum is σ = 681425671680. Its totient is φ = 50570403840.

The previous prime is 201565979477. The next prime is 201565979591. The reversal of 201565979520 is 25979565102.

It is a happy number.

It is a Cunningham number, because it is equal to 448961²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2656347 + ... + 2731173.

It is an arithmetic number, because the mean of its divisors is an integer number (2661819030).

Almost surely, 2^201565979520 is an apocalyptic number.

201565979520 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 201565979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340712835840).

201565979520 is an abundant number, since it is smaller than the sum of its proper divisors (479859692160).

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

201565979520 is a wasteful number, since it uses less digits than its factorization.

201565979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74933 (or 74921 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 201565979520 in words is "two hundred one billion, five hundred sixty-five million, nine hundred seventy-nine thousand, five hundred twenty".