988776677889 has 192 divisors, whose sum is σ = 2055099691008. Its totient is φ = 441263116800.

The previous prime is 988776677887. The next prime is 988776677897.

988776677889 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 988776677889 - 2¹ = 988776677887 is a prime.

It is a super-2 number, since 2×988776677889² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 988776677799 and 988776677808.

It is not an unprimeable number, because it can be changed into a prime (988776677887) 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 191 ways as a sum of consecutive naturals, for example, 7602174 + ... + 7731144.

It is an arithmetic number, because the mean of its divisors is an integer number (10703644224).

Almost surely, 2^988776677889 is an apocalyptic number.

988776677889 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

988776677889 is an abundant number, since it is smaller than the sum of its proper divisors (1066323013119).

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

988776677889 is a wasteful number, since it uses less digits than its factorization.

988776677889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129068 (or 129065 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 90.

The spelling of 988776677889 in words is "nine hundred eighty-eight billion, seven hundred seventy-six million, six hundred seventy-seven thousand, eight hundred eighty-nine".