5753557656 has 864 divisors, whose sum is σ = 22930689600. Its totient is φ = 1332495360.

The previous prime is 5753557651. The next prime is 5753557699. The reversal of 5753557656 is 6567553575.

5753557656 is a `hidden beast` number, since 5 + 7 + 535 + 57 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753557651) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 302818815 + ... + 302818833.

It is an arithmetic number, because the mean of its divisors is an integer number (26540150).

Almost surely, 2^5753557656 is an apocalyptic number.

5753557656 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 5753557656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465344800).

5753557656 is an abundant number, since it is smaller than the sum of its proper divisors (17177131944).

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

5753557656 is a wasteful number, since it uses less digits than its factorization.

5753557656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its digits is 16537500, while the sum is 54.

The square root of 5753557656 is about 75852.2093020368. The cubic root of 5753557656 is about 1791.8933448893.

The spelling of 5753557656 in words is "five billion, seven hundred fifty-three million, five hundred fifty-seven thousand, six hundred fifty-six".