86176961970 has 128 divisors (see below), whose sum is σ = 227991456000. Its totient is φ = 20672962560.

The previous prime is 86176961957. The next prime is 86176961993. The reversal of 86176961970 is 7916967168.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53558526 + ... + 53560134.

It is an arithmetic number, because the mean of its divisors is an integer number (1781183250).

Almost surely, 2^86176961970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86176961970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113995728000).

86176961970 is an abundant number, since it is smaller than the sum of its proper divisors (141814494030).

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

86176961970 is a wasteful number, since it uses less digits than its factorization.

86176961970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228.

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 86176961970 in words is "eighty-six billion, one hundred seventy-six million, nine hundred sixty-one thousand, nine hundred seventy".