5461126560 has 144 divisors (see below), whose sum is σ = 18821111400. Its totient is φ = 1441843200.

The previous prime is 5461126543. The next prime is 5461126571. The reversal of 5461126560 is 656211645.

It can be written as a sum of positive squares in 4 ways, for example, as 5048386704 + 412739856 = 71052^2 + 20316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126666 + ... + 164214.

Almost surely, 2^5461126560 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 5461126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410555700).

5461126560 is an abundant number, since it is smaller than the sum of its proper divisors (13359984840).

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

5461126560 is a wasteful number, since it uses less digits than its factorization.

5461126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37671 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5461126560 is about 73899.4354511589. The cubic root of 5461126560 is about 1761.0056408453.

The spelling of 5461126560 in words is "five billion, four hundred sixty-one million, one hundred twenty-six thousand, five hundred sixty".