561600128400 has 60 divisors (see below), whose sum is σ = 1798992415152. Its totient is φ = 149760033920.

The previous prime is 561600128389. The next prime is 561600128449. The reversal of 561600128400 is 4821006165.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233998854 + ... + 234001253.

Almost surely, 2^561600128400 is an apocalyptic number.

561600128400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561600128400 is an abundant number, since it is smaller than the sum of its proper divisors (1237392286752).

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

561600128400 is a wasteful number, since it uses less digits than its factorization.

561600128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468000128 (or 468000117 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 561600128400 in words is "five hundred sixty-one billion, six hundred million, one hundred twenty-eight thousand, four hundred".