55557999975555 has 144 divisors (see below), whose sum is σ = 122289247701504. Its totient is φ = 23073496709760.

The previous prime is 55557999975509. The next prime is 55557999975769.

It is a happy number.

55557999975555 is nontrivially palindromic in base 10.

55557999975555 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 55557999975555 - 2⁴⁴ = 37965813931139 is a prime.

It is a super-2 number, since 2×55557999975555² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 35296984 + ... + 36837386.

It is an arithmetic number, because the mean of its divisors is an integer number (849230886816).

Almost surely, 2^{55557999975555} is an apocalyptic number.

55557999975555 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55557999975555 is an abundant number, since it is smaller than the sum of its proper divisors (66731247725949).

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

55557999975555 is a wasteful number, since it uses less digits than its factorization.

55557999975555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541926 (or 1541916 counting only the distinct ones).

The product of its digits is 125581640625, while the sum is 90.

The spelling of 55557999975555 in words is "fifty-five trillion, five hundred fifty-seven billion, nine hundred ninety-nine million, nine hundred seventy-five thousand, five hundred fifty-five".