85952166976 has 63 divisors (see below), whose sum is σ = 184756212021. Its totient is φ = 39656158464.

The previous prime is 85952166973. The next prime is 85952167001. The reversal of 85952166976 is 67966125958.

The square root of 85952166976 is 293176.

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

It can be written as a sum of positive squares in only one way, i.e., 12714817600 + 73237349376 = 112760^2 + 270624^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85952166973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30488895 + ... + 30491713.

Almost surely, 2^85952166976 is an apocalyptic number.

85952166976 is the 293176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85952166976

85952166976 is an abundant number, since it is smaller than the sum of its proper divisors (98804045045).

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

85952166976 is an frugal number, since it uses more digits than its factorization.

85952166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 2834 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

Multiplying 85952166976 by its sum of digits (64), we get a square (5500938686464 = 2345408²).

85952166976 divided by its sum of digits (64) gives a square (1343002609 = 36647²).

The spelling of 85952166976 in words is "eighty-five billion, nine hundred fifty-two million, one hundred sixty-six thousand, nine hundred seventy-six".