561116371200 has 864 divisors, whose sum is σ = 2316433738752. Its totient is φ = 116207616000.

The previous prime is 561116371159. The next prime is 561116371201. The reversal of 561116371200 is 2173611165.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (561116371201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725894014 + ... + 725894786.

It is an arithmetic number, because the mean of its divisors is an integer number (2681057568).

Almost surely, 2^561116371200 is an apocalyptic number.

561116371200 is a gapful number since it is divisible by the number (50) 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 561116371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158216869376).

561116371200 is an abundant number, since it is smaller than the sum of its proper divisors (1755317367552).

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

561116371200 is a wasteful number, since it uses less digits than its factorization.

561116371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 561116371200 its reverse (2173611165), we get a palindrome (563289982365).

The spelling of 561116371200 in words is "five hundred sixty-one billion, one hundred sixteen million, three hundred seventy-one thousand, two hundred".