561597198624 has 1152 divisors, whose sum is σ = 2169770803200. Its totient is φ = 133406300160.

The previous prime is 561597198623. The next prime is 561597198637. The reversal of 561597198624 is 426891795165.

561597198624 is a `hidden beast` number, since 5 + 6 + 1 + 597 + 19 + 8 + 6 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (561597198623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2518372977 + ... + 2518373199.

It is an arithmetic number, because the mean of its divisors is an integer number (1883481600).

Almost surely, 2^561597198624 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 561597198624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084885401600).

561597198624 is an abundant number, since it is smaller than the sum of its proper divisors (1608173604576).

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

561597198624 is a wasteful number, since it uses less digits than its factorization.

561597198624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 561597198624 in words is "five hundred sixty-one billion, five hundred ninety-seven million, one hundred ninety-eight thousand, six hundred twenty-four".