5753088000 has 576 divisors, whose sum is σ = 22721549760. Its totient is φ = 1388544000.

The previous prime is 5753087993. The next prime is 5753088001. The reversal of 5753088000 is 8803575.

It is a happy number.

5753088000 is a `hidden beast` number, since 575 + 3 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5753088001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343887 + ... + 25344113.

It is an arithmetic number, because the mean of its divisors is an integer number (39447135).

Almost surely, 2^5753088000 is an apocalyptic number.

5753088000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5753088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360774880).

5753088000 is an abundant number, since it is smaller than the sum of its proper divisors (16968461760).

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

5753088000 is a wasteful number, since it uses less digits than its factorization.

5753088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5753088000 is about 75849.1133764924. The cubic root of 5753088000 is about 1791.8445868622.

It can be divided in two parts, 57530 and 88000, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 5753088000 in words is "five billion, seven hundred fifty-three million, eighty-eight thousand".