5461135460 has 96 divisors (see below), whose sum is σ = 13002522624. Its totient is φ = 1908720000.

The previous prime is 5461135453. The next prime is 5461135483. The reversal of 5461135460 is 645311645.

It is a self number, because there is not a number n which added to its sum of digits gives 5461135460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027169 + ... + 1032471.

It is an arithmetic number, because the mean of its divisors is an integer number (135442944).

Almost surely, 2^5461135460 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 5461135460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501261312).

5461135460 is an abundant number, since it is smaller than the sum of its proper divisors (7541387164).

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

5461135460 is a wasteful number, since it uses less digits than its factorization.

5461135460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 5461135460 is about 73899.4956681032. The cubic root of 5461135460 is about 1761.0065974820.

The spelling of 5461135460 in words is "five billion, four hundred sixty-one million, one hundred thirty-five thousand, four hundred sixty".