5405232960 has 336 divisors, whose sum is σ = 19879915536. Its totient is φ = 1343225856.

The previous prime is 5405232953. The next prime is 5405232971. The reversal of 5405232960 is 692325045.

5405232960 is a `hidden beast` number, since 5 + 40 + 523 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 5404014144 = 1104^2 + 73512^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5531992 + ... + 5532968.

Almost surely, 2^5405232960 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 5405232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939957768).

5405232960 is an abundant number, since it is smaller than the sum of its proper divisors (14474682576).

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

5405232960 is a wasteful number, since it uses less digits than its factorization.

5405232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5405232960 is about 73520.2894444792. The cubic root of 5405232960 is about 1754.9771735897.

The spelling of 5405232960 in words is "five billion, four hundred five million, two hundred thirty-two thousand, nine hundred sixty".