5753235456 has 288 divisors, whose sum is σ = 17815412160. Its totient is φ = 1784217600.

The previous prime is 5753235407. The next prime is 5753235461. The reversal of 5753235456 is 6545323575.

5753235456 is a `hidden beast` number, since 5 + 75 + 32 + 3 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1890000) is a multiple of the sum of its prime divisors (400).

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, 17381211 + ... + 17381541.

It is an arithmetic number, because the mean of its divisors is an integer number (61859070).

Almost surely, 2^5753235456 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 5753235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907706080).

5753235456 is an abundant number, since it is smaller than the sum of its proper divisors (12062176704).

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

5753235456 is a wasteful number, since it uses less digits than its factorization.

5753235456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its digits is 1890000, while the sum is 45.

The square root of 5753235456 is about 75850.0854053573. The cubic root of 5753235456 is about 1791.8598955090.

The spelling of 5753235456 in words is "five billion, seven hundred fifty-three million, two hundred thirty-five thousand, four hundred fifty-six".