561333502260 has 288 divisors, whose sum is σ = 1907732736000. Its totient is φ = 132767354880.

The previous prime is 561333502211. The next prime is 561333502273. The reversal of 561333502260 is 62205333165.

561333502260 is a `hidden beast` number, since 5 + 61 + 3 + 33 + 502 + 2 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11079466 + ... + 11130014.

It is an arithmetic number, because the mean of its divisors is an integer number (6624072000).

Almost surely, 2^561333502260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561333502260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953866368000).

561333502260 is an abundant number, since it is smaller than the sum of its proper divisors (1346399233740).

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

561333502260 is a wasteful number, since it uses less digits than its factorization.

561333502260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50791 (or 50786 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 561333502260 in words is "five hundred sixty-one billion, three hundred thirty-three million, five hundred two thousand, two hundred sixty".