201559361280 has 288 divisors, whose sum is σ = 672938434560. Its totient is φ = 51354501120.

The previous prime is 201559361251. The next prime is 201559361291. The reversal of 201559361280 is 82163955102.

It is a super-2 number, since 2×201559361280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9393444 + ... + 9414876.

Almost surely, 2^201559361280 is an apocalyptic number.

201559361280 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 201559361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336469217280).

201559361280 is an abundant number, since it is smaller than the sum of its proper divisors (471379073280).

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

201559361280 is a wasteful number, since it uses less digits than its factorization.

201559361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21567 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 201559361280 in words is "two hundred one billion, five hundred fifty-nine million, three hundred sixty-one thousand, two hundred eighty".