561125777120 has 96 divisors (see below), whose sum is σ = 1369370935296. Its totient is φ = 217059494400.

The previous prime is 561125777119. The next prime is 561125777123. The reversal of 561125777120 is 21777521165.

561125777120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561125777123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7257707 + ... + 7334613.

It is an arithmetic number, because the mean of its divisors is an integer number (14264280576).

Almost surely, 2^561125777120 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 561125777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684685467648).

561125777120 is an abundant number, since it is smaller than the sum of its proper divisors (808245158176).

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

561125777120 is a wasteful number, since it uses less digits than its factorization.

561125777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78424 (or 78416 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 44.

The spelling of 561125777120 in words is "five hundred sixty-one billion, one hundred twenty-five million, seven hundred seventy-seven thousand, one hundred twenty".