557678876755 has 256 divisors, whose sum is σ = 981343641600. Its totient is φ = 292879319040.

The previous prime is 557678876731. The next prime is 557678876771.

It is a happy number.

557678876755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557678876755 - 2³¹ = 555531393107 is a prime.

It is a super-2 number, since 2×557678876755² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 297110877 + ... + 297112753.

It is an arithmetic number, because the mean of its divisors is an integer number (3833373600).

Almost surely, 2^557678876755 is an apocalyptic number.

557678876755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557678876755 is a deficient number, since it is larger than the sum of its proper divisors (423664764845).

557678876755 is a wasteful number, since it uses less digits than its factorization.

557678876755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054.

The product of its digits is 3457440000, while the sum is 76.

The spelling of 557678876755 in words is "five hundred fifty-seven billion, six hundred seventy-eight million, eight hundred seventy-six thousand, seven hundred fifty-five".