85877716401 has 15 divisors (see below), whose sum is σ = 128290405243. Its totient is φ = 57250052640.

The previous prime is 85877716391. The next prime is 85877716417. The reversal of 85877716401 is 10461777858.

The square root of 85877716401 is 293049.

It is a perfect power (a square), and thus also a powerful number.

85877716401 is a `hidden beast` number, since 8 + 587 + 7 + 7 + 16 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66667756401 + 19209960000 = 258201^2 + 138600^2 .

It is not a de Polignac number, because 85877716401 - 2³⁵ = 51517978033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85877716201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2621161 + ... + 2653721.

Almost surely, 2^85877716401 is an apocalyptic number.

85877716401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85877716401 is the 293049-th square number.

85877716401 is the 146525-th centered octagonal number.

It is an amenable number.

85877716401 is a deficient number, since it is larger than the sum of its proper divisors (42412688842).

85877716401 is an frugal number, since it uses more digits than its factorization.

85877716401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65134 (or 32564 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 85877716401 in words is "eighty-five billion, eight hundred seventy-seven million, seven hundred sixteen thousand, four hundred one".