57753255105 has 48 divisors (see below), whose sum is σ = 123206952960. Its totient is φ = 24370602624.

The previous prime is 57753255103. The next prime is 57753255137. The reversal of 57753255105 is 50155235775.

57753255105 is a `hidden beast` number, since 5 + 7 + 7 + 532 + 5 + 5 + 105 = 666.

It is not a de Polignac number, because 57753255105 - 2¹ = 57753255103 is a prime.

It is a super-2 number, since 2×57753255105² (a number of 22 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57753255101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7047585 + ... + 7055774.

It is an arithmetic number, because the mean of its divisors is an integer number (2566811520).

Almost surely, 2^57753255105 is an apocalyptic number.

It is an amenable number.

57753255105 is an abundant number, since it is smaller than the sum of its proper divisors (65453697855).

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

57753255105 is a wasteful number, since it uses less digits than its factorization.

57753255105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103390 (or 14103387 counting only the distinct ones).

The product of its (nonzero) digits is 918750, while the sum is 45.

The spelling of 57753255105 in words is "fifty-seven billion, seven hundred fifty-three million, two hundred fifty-five thousand, one hundred five".