86670167040 has 1056 divisors, whose sum is σ = 339912308736. Its totient is φ = 20313538560.

The previous prime is 86670166993. The next prime is 86670167093. The reversal of 86670167040 is 4076107668.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044218839 + ... + 1044218921.

It is an arithmetic number, because the mean of its divisors is an integer number (321886656).

Almost surely, 2^86670167040 is an apocalyptic number.

86670167040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86670167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169956154368).

86670167040 is an abundant number, since it is smaller than the sum of its proper divisors (253242141696).

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

86670167040 is a wasteful number, since it uses less digits than its factorization.

86670167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 86670167040 in words is "eighty-six billion, six hundred seventy million, one hundred sixty-seven thousand, forty".