86212215040 has 108 divisors (see below), whose sum is σ = 240220505196. Its totient is φ = 29558452224.

The previous prime is 86212215013. The next prime is 86212215041. The reversal of 86212215040 is 4051221268.

It can be written as a sum of positive squares in 2 ways, for example, as 41687838976 + 44524376064 = 204176^2 + 211008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86212214993 and 86212215011.

It is not an unprimeable number, because it can be changed into a prime (86212215041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624559 + ... + 749998.

It is an arithmetic number, because the mean of its divisors is an integer number (2224263937).

Almost surely, 2^86212215040 is an apocalyptic number.

86212215040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86212215040 is an abundant number, since it is smaller than the sum of its proper divisors (154008290156).

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

86212215040 is a wasteful number, since it uses less digits than its factorization.

86212215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374592 (or 1374571 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 86212215040 in words is "eighty-six billion, two hundred twelve million, two hundred fifteen thousand, forty".