561378339200 has 288 divisors, whose sum is σ = 1619445746160. Its totient is φ = 191726653440.

The previous prime is 561378339191. The next prime is 561378339209. The reversal of 561378339200 is 2933873165.

It is an interprime number because it is at equal distance from previous prime (561378339191) and next prime (561378339209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561378339209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41231594 + ... + 41245206.

Almost surely, 2^561378339200 is an apocalyptic number.

561378339200 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 561378339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809722873080).

561378339200 is an abundant number, since it is smaller than the sum of its proper divisors (1058067406960).

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

561378339200 is a wasteful number, since it uses less digits than its factorization.

561378339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 561378339200 in words is "five hundred sixty-one billion, three hundred seventy-eight million, three hundred thirty-nine thousand, two hundred".