86321201970 has 64 divisors (see below), whose sum is σ = 212329434240. Its totient is φ = 22446374400.

The previous prime is 86321201957. The next prime is 86321202007. The reversal of 86321201970 is 7910212368.

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 31 ways as a sum of consecutive naturals, for example, 2617041 + ... + 2649819.

It is an arithmetic number, because the mean of its divisors is an integer number (3317647410).

Almost surely, 2^86321201970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86321201970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106164717120).

86321201970 is an abundant number, since it is smaller than the sum of its proper divisors (126008232270).

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

86321201970 is a wasteful number, since it uses less digits than its factorization.

86321201970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34971.

The product of its (nonzero) digits is 36288, while the sum is 39.

It can be divided in two parts, 8632120 and 1970, that added together give a triangular number (8634090 = T₄₁₅₅).

The spelling of 86321201970 in words is "eighty-six billion, three hundred twenty-one million, two hundred one thousand, nine hundred seventy".