5757133536 has 288 divisors, whose sum is σ = 21096311040. Its totient is φ = 1495169280.

The previous prime is 5757133517. The next prime is 5757133567. The reversal of 5757133536 is 6353317575.

5757133536 is a `hidden beast` number, since 57 + 57 + 13 + 3 + 536 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5757133491 and 5757133500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727875 + ... + 735741.

It is an arithmetic number, because the mean of its divisors is an integer number (73251080).

Almost surely, 2^5757133536 is an apocalyptic number.

5757133536 is a gapful number since it is divisible by the number (56) 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 5757133536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548155520).

5757133536 is an abundant number, since it is smaller than the sum of its proper divisors (15339177504).

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

5757133536 is a wasteful number, since it uses less digits than its factorization.

5757133536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7915 (or 7890 counting only the distinct ones).

The product of its digits is 992250, while the sum is 45.

The square root of 5757133536 is about 75875.7770042587. Note that the first 3 decimals coincide. The cubic root of 5757133536 is about 1792.2644931398.

The spelling of 5757133536 in words is "five billion, seven hundred fifty-seven million, one hundred thirty-three thousand, five hundred thirty-six".