5405311584 has 72 divisors (see below), whose sum is σ = 15380957592. Its totient is φ = 1800645120.

The previous prime is 5405311567. The next prime is 5405311589. The reversal of 5405311584 is 4851135045.

5405311584 is a `hidden beast` number, since 5 + 40 + 5 + 31 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405311589) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 546039 + ... + 555849.

It is an arithmetic number, because the mean of its divisors is an integer number (213624411).

Almost surely, 2^5405311584 is an apocalyptic number.

It is an amenable number.

5405311584 is an abundant number, since it is smaller than the sum of its proper divisors (9975646008).

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

5405311584 is a wasteful number, since it uses less digits than its factorization.

5405311584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5405311584 is about 73520.8241520727. The cubic root of 5405311584 is about 1754.9856827916.

The spelling of 5405311584 in words is "five billion, four hundred five million, three hundred eleven thousand, five hundred eighty-four".