55757555575755 has 64 divisors (see below), whose sum is σ = 97647826268160. Its totient is φ = 26943682147200.

The previous prime is 55757555575751. The next prime is 55757555575817.

It is a happy number.

55757555575755 is nontrivially palindromic in base 10.

55757555575755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55757555575755 - 2² = 55757555575751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55757555575751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60878760 + ... + 61787850.

It is an arithmetic number, because the mean of its divisors is an integer number (1525747285440).

Almost surely, 2^{55757555575755} is an apocalyptic number.

55757555575755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55757555575755 is a deficient number, since it is larger than the sum of its proper divisors (41890270692405).

55757555575755 is a wasteful number, since it uses less digits than its factorization.

55757555575755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910352.

The product of its digits is 23447265625, while the sum is 78.

The spelling of 55757555575755 in words is "fifty-five trillion, seven hundred fifty-seven billion, five hundred fifty-five million, five hundred seventy-five thousand, seven hundred fifty-five".