85554101206116 has 27 divisors (see below), whose sum is σ = 216261896111443. Its totient is φ = 28518015236280.

The previous prime is 85554101206069. The next prime is 85554101206117. The reversal of 85554101206116 is 61160210145558.

The square root of 85554101206116 is 9249546.

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

85554101206116 is a `hidden beast` number, since 8 + 5 + 5 + 5 + 4 + 1 + 0 + 1 + 20 + 611 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85554101206117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54726481 + ... + 56268071.

Almost surely, 2^{85554101206116} is an apocalyptic number.

85554101206116 is the 9249546-th square number.

It is an amenable number.

85554101206116 is an abundant number, since it is smaller than the sum of its proper divisors (130707794905327).

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

85554101206116 is an frugal number, since it uses more digits than its factorization.

85554101206116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083192 (or 1541596 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 85554101206116 in words is "eighty-five trillion, five hundred fifty-four billion, one hundred one million, two hundred six thousand, one hundred sixteen".