561198456000 has 2240 divisors, whose sum is σ = 2646259359744. Its totient is φ = 114213888000.

The previous prime is 561198455971. The next prime is 561198456037. The reversal of 561198456000 is 654891165.

561198456000 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 9 + 84 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1828007847 + ... + 1828008153.

Almost surely, 2^561198456000 is an apocalyptic number.

561198456000 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 561198456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323129679872).

561198456000 is an abundant number, since it is smaller than the sum of its proper divisors (2085060903744).

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

561198456000 is a wasteful number, since it uses less digits than its factorization.

561198456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 561198456000 in words is "five hundred sixty-one billion, one hundred ninety-eight million, four hundred fifty-six thousand".